Arthur Hawkins and Douglas Pearson were convicted of wire fraud and conspiracy to commit wire fraud based on their participation in a bribery scheme that facilitated the distribution of their company’s defective batteries. Hawkins and Pearson appeal their convictions, arguing, among other things, that they should not have been tried on a superceding indictment that was filed outside the relevant statute of limitations, their case should not have been tried in the Southern District of Illinois, they were prejudiced by certain discovery rulings of the district court, and the district court improperly limited their ability to examine a key witness at trial. We reject all of their arguments and affirm the judgment of the district court in all respects.
I. BACKGROUND
Arthur Hawkins and Douglas Pearson were officers of Exide Corporation, a battery manufacturer. Hawkins was the CEO and Chair of the Board of Directors, while Pearson served as Executive Vice President of Sales and Marketing and later as President of North American Operations. In 1993, Exide bid on a contract to manufacture DieHard batteries for Sears. Exide’s bid contained a promise of “space age technology,” and it stated that Exide’s DieHard batteries would contain silvium II *463 (silver additive), high utilization paste, and one-inch breed lugs. In April 1994, Exide was awarded the DieHard contract.
Despite Exide’s promises, the batteries it manufactured contained only trace amounts of silver, the high utilization paste did not add any value to the battery, and the one-inch lug created a design flaw. As early as October 1994, soon after the batteries were rolled out in Sears stores, Ex-ide officials were warned of significant quality problems with the batteries. As a result, Sears indicated to Exide that it was in jeopardy of losing the DieHard business. By the end of October, Exide went into approximately 700 stores nationwide to remove defective batteries from the shelves.
In order to keep the lucrative Sears contract, Exide bribed Gary Marks, Sears’s battery buyer. Beginning in March 1995 and continuing through February 1996, Exide made several payments of approximately $10,000 each to Marks. At first, Joseph Calió, Senior Vice President of Sales and Marketing for Exide, gave the bribes to Marks. After Calió complained about making the payments, Exide sent the bribes to Marks’s phony consulting company, DG Consulting, by check or wire. Marks left Sears in July 1997.
In April 1998, Hawkins informed Marks that Calió had implicated Marks in an investigation by the Florida Attorney General’s Office into the Exide bribery scheme. In order to cover up their arrangement, Hawkins and Marks concocted a phony consulting agreement between Exide and DG Consulting and created supporting backdated documents to substantiate the bribe payments. Hawkins paid Marks $15,000 in spring of 1999 and an additional $10,000 later that fall for Marks’s participation in the cover-up scheme and for his execution of the false cover-up documents.
In January 2001, Hawkins and Pearson were charged in a two-count indictment with wire fraud and conspiracy to commit wire fraud. The indictment, which was filed under seal, charged that the batteries failed testing standards and that Exide falsified internal quality assurance reports to hide latent manufacturing defects. It also charged that Ex-ide supplied the defective batteries to Sears distribution centers, causing defective batteries to be distributed nationwide to consumers, and defendants failed to recall batteries that were known to be defective. In addition, there were allegations that Exide falsely advertised that the batteries were manufactured with certain “proprietary features” when the batteries either did not contain the features or they added nothing to the durability or quality of the batteries. Finally, according to the indictment, after the defective batteries were in the stores, defendants made unlawful payments to Marks in an attempt to influence his independent judgment and to promote the business arrangement with Sears, and then concealed the unlawful payments by causing corporate financial records to be falsified. 1
After the original indictment was returned against Hawkins and Pearson in January 2001, two superceding indictments were filed in open court in March 2001, then in July 2001. Hawkins and Pearson were tried on the second superceding indictment beginning on March 18, 2002. *464 Following approximately three months of trial, a jury convicted Hawkins and Pearson on both counts. Hawkins was sentenced to 120 months’ imprisonment, a three-year term of supervised release, and a fine of $1 million, while Pearson received a sentence of 64 months’ imprisonment, a two-year term of supervised release, and a fine of $150,000. Defendants appeal.
II. ANALYSIS
Hawkins and Pearson have taken a kitchen-sink approach to their appeal, filing separate briefs (with voluminous appendices) and together raising over a dozen distinct issues, each with their own sub-contentions. Neither challenges the sufficiency of the evidence to support then-conviction. In the face of the avalanche of issues they have raised, we will focus here on defendants’ most substantive contentions.
A. Superceding Indictment
Defendants first argue they were tried under a second superceding indictment that, because it was returned outside the statute of limitations period and did not relate back to the original indictment, was time-barred. We review the district court’s ruling regarding the statute of limitations de novo.
United States v. Anderson,
We first address defendants’ concern that the original indictment was sealed. Defendants argue that despite the fact that filing an indictment within the statute of limitations period tolls the running of the statute of limitations, it should not have been tolled in this case because the original indictment was filed under seal. Federal Rule of Criminal Procedure 6(e)(4) provides that a court “may direct that the indictment be kept secret until the defendant is in custody or has been released pending trial.” Rule 6 does not require the statute of limitations analysis to be altered when an indictment is sealed, and we see no reason why, in a case such as this where an open indictment was filed only two months later, the statute of limitations should continue to run after a sealed indictment has been returned.
See United States v. Thompson,
Hawkins also complains that because the original indictment has remained under seal, his counsel has never been able to determine whether the first superceding indictment relates back to the original indictment. The district court conducted an in camera comparison of the original indictment to the first superceding indictment and determined that the only difference between the two was the removal in the latter of the identity of an unindicted *465 coconspirator. Our review confirms this minor change, which, since it does not alter or amend the charges against the defendants in any way, does not offend the statute of limitations.
This is not to say, however, that it was proper for the indictment to indefinitely remain under seal in the district court. Pearson and the government acknowledge that the identity of the coconspirator named in the original indictment has been publicly revealed. This court has repeatedly recognized the paramount importance of providing public access to court proceedings, especially in criminal matters.
See, e.g., In re Associated Press v. Ladd,
Defendants’ second statute of limitations argument is that changes made to the conspiracy count in the second superceding indictment materially broadened the charge, preventing it from “relating back” to the original indictment, and leaving it time-barred. The second superceding indictment modified the end date of the conspiracy from February 1996 to September 2000 and added three overt acts which occurred during that time. Defendants argue that the three acts- — Hawkins’s preparation of Marks’s false affidavit, his preparation of a phony consulting agreement, and his false testimony about the consulting agreement — were not part of the wire fraud conspiracy and thus expanded the alleged crime. However, “the fact that the ‘central objective’ of the conspiracy has been nominally attained does not preclude the continuance of the conspiracy.”
United States v. Hickey,
B. Venue
We next examine Pearson and Hawkins’s arguments that venue was not proper in the Southern District of Illinois. We review claims of improper venue to determine “whether the government proved by a preponderance of the evidence that the crimes occurred in the district charged, viewing the evidence in the light most favorable to the government.”
United States v. Ochoa,
Defendants contend that the substantive wire fraud count should not have been tried in the Southern District of Illinois because the basis for that count, a wire transfer from a bank in the Eastern District of Pennsylvania to a bank in the Northern District of Illinois, did not originate in, pass through, or terminate in the Southern District of Illinois. In cases interpreting the application of § 3237(a), this court has held that “venue is only improper ‘if the only acts that occurred in that district do not provide evidence of the elements of the charged crime.’ ”
United States v. Ringer,
In
Ringer,
the defendant was charged with making false statements to federal officers in the Eastern District of Kentucky and was tried in the Southern District of Indiana.
Id.
at 790. We held that venue was proper in the Southern District of Indiana because, although the statements occurred elsewhere, they were intended to influence a trial set to occur in the Southern District of Indiana, and the materiality of the statements was an element of the crime.
Id.
at 792. Similarly, in
United States v. Frederick,
In the instant case, defendants intended to defraud customers in the Southern District of Illinois. They were charged with wire, fraud, including use of the wires to promote the sale of defective batteries through false advertising in the Southern District of Illinois. Moreover, the defective batteries themselves were distributed and sold in that district, and an audit of the battery quality conducted in the Southern District of Illinois initially uncovered the defects in the product. The Exide Corporation, a defendant in a companion case, was charged with similar crimes and pled guilty in the Southern District of Illinois.
These fraudulent activities conducted in the Southern District of Illinois provided critical evidence of the “intent to defraud,” an element of the crime of wire fraud.
See United States v. O’Brien,
Hawkins also complains that venue was improper as to the conspiracy count. Both the sale of defective batteries and the broadcasting of advertisements in the Southern District of Illinois were overt acts that supported the charge of conspiracy to commit mail fraud. “As long as one overt act in furtherance of the conspiracy was committed in a district, venue is proper there.”
United States v. Molt,
C. Discovery and Pretrial Rulings
Defendants also raise several objections to pretrial rulings by the district court, and we review their complaints keeping in mind that “[district courts have broad discretion in discovery matters.”
Packman v. Chicago Tribune Co.,
We first review the district court’s rejection of defendants’ motion for a continuance. In late January 2002, Pearson moved for a trial continuance, the third such request made by defendants. Defendants argue that they needed more time to prepare for trial because 86 boxes of discovery material had not yet been copied by defendants’ copy vendor, and because of the large volume of documents. Importantly, defendants do not argue that the government did not make the 86 boxes of documents available to them, only that the log maintained by the U.S. Postal Inspector’s Office to account for the government boxes being taken for copying by defendants’ copy vendor indicated that 86 boxes had not yet been copied. 4 After providing defendants free and open access to the documents through its open-file policy, the government was under no obligation to ensure that defendants took advantage of the open files by actually copying or reviewing each box. Further, although there was a large amount of discovery to *468 review in preparation for trial, defendants had one year from the date of the first superceding indictment and seven and one-half months from the date of the second superceding indictment to prepare for trial. We do not find any abuse of discretion in the district court’s denial of defendants’ motion for a continuance, as defendants had adequate tirhe and access to discovery in order to prepare for trial.
Second, we consider defendants’ argument that the district court should have required the government to provide defendants with a list of potential witnesses and a list of its trial exhibits. Despite the fact that Federal Rule of Criminal Procedure 16 addresses many of the defendants’ concerns, their briefs are noticeably silent as to the Rule’s provisions. Federal Rule of Criminal Procedure 16(a)(1)(E) provides:
Upon a defendant’s request, the government must permit the defendant to inspect and to copy or photograph books, papers, documents ... or copies or portions of any of these items, if the item is within the government’s possession, custody, or control and: (i) the item is material to preparing the defense; (ii) the government intends to use the item in its case-in-chief at trial; or (iii) the item was obtained from or belongs to the defendant.
As we have noted before, the law is clear that neither the Constitution nor Rule 16 entitles a defendant to a list of all prospective witnesses before trial in a noncapital case.
See United States v.
Napue,
*469
Next, defendants argue that the district court erred in rejecting their motion to compel the production of approximately 3800 allegedly-defective batteries that the government obtained from Sears. Defendants allege that, despite the fact that the batteries were never introduced at trial, the government’s refusal to turn over the batteries compromised their ability to defend against the accusation that the batteries were defective because they could not have the batteries tested to determine their quality. The batteries were never analyzed by any party, and the government contends that they could not have been tested because their condition had deteriorated to a point that made reliable testing impossible. Defendants disagree and argue that testing would have been merely difficult, not impossible. Rule 16 requires the government to provide access to objects “which are material to the preparation of the defendant’s defense or are intended for use by the government as evidence in chief at trial.” In
United States v. Armstrong,
Finally, defendants allege that the government improperly failed to turn over several documents in violation of
Brady v. Maryland,
D. Impeachment Evidence
Defendants further contend that the district court erred when it did not allow defendants to introduce certain documents in their cross-examination of Joseph Calió. Evidentiary rulings by the district court are reviewed by this court for abuse of discretion.
United States v. Nedza,
Defendants also contend that the court erred in ending the defense’s examination of Calió. The court excused Calió from the witness stand after a hearing in chambers in which the government argued that Pearson’s attorney suggested to Calio’s counsel that Calió may have breached his plea agreement with the government, that he should assert his Fifth Amendment *471 privilege against self-incrimination, and the defense would then move to strike all of Calio’s testimony. At the time the district court ended Calio’s testimony, Calió had testified as a government witness for three days, including substantial cross-examination by defendants, and had then been recalled by defendants as a witness for the defense. Defendants claim that, as a result of the court’s ruling, they did not have the opportunity to examine Calió as to certain conversations he had with government witness Rick Randalls, although defendants do not explain the significance of this evidence or why it had not been discussed with the witness earlier.
During the three and one-half days Calió had been on the stand, the defense had ample opportunities to impeach Calió on many different issues. “Merely cumulative evidence is excludable, as having little probative value, Fed. R.Evid. 403; merely cumulative impeachment evidence likewise.”
United States v. Boyd, 55
F.3d 239, 246 (7th Cir.1995). Defendants thoroughly questioned Calió on issues including discrepancies in his accounts of alleged meetings with the defendants, misstatements in a deposition with the Florida Attorney General, tax evasion, his possible bias against Pearson including statements that he “hated Pearson” and had commented on Pearson’s sexual orientation, and the fact that he received a deal from the government for his testimony. They do not explain why additional testimony from Calió would have been anything but cumulative. “Determining whether testimony is cumulative rests within the sound discretion of the district court,”
United States v. Gardner,
Hawkins and Pearson raised a number of other issues in their appeals, and although we have considered each of these arguments, we conclude that they are without merit and are of insufficient importance to discuss here.
III. CONCLUSION
Accordingly, we AFFIRM the convictions and sentences of the defendants.
Notes
. In March 2001, Marks and Calió pled guilty to wire fraud and signed plea agreements with the government. In December 2001, Sears Automotive Marketing Services, Inc., a subsidiary of Sears, entered into a pretrial diversion agreement in which the U.S. Attorney’s Office agreed not to prosecute it in exchange for a payment of $62.6 million.
. We remind litigants that under Seventh Circuit Operating Procedure 10, "[e]xcept to the extent portions of the record are required to be sealed by statute ... every document filed in or by this court (whether or not the document was sealed in the district court) is in the public record unless a judge of this court orders it to be sealed. Documents sealed in the district court will be maintained under seal in this court for 14 days, to afford time to request the approval required by ... this procedure.”
. Although neither party discusses the case, in
United States v. Pace,
. Defendants also complain about an additional 23 boxes that the log indicates were received by defendants' copy vendor, but of which defendants did not receive copies. This seems to be a problem more properly addressed to the copy vendor, not to the court.
. We note that defendants do not argue that the government failed to comply with the Jenclcs Act, 18 U.S.C. § 3500(b), which requires the government, upon defendants' motion, to produce statements made by any of its witnesses which the particular witnesses signed, adopted, or approved, and which pertain to their testimony at trial. Instead, defendants' argument focuses on the provision of a list of witnesses before they took the stand.
. Because the government did provide the district court with a courtesy copy of an exhibit list, defendants also argue that the government's failure to provide them with the same list constituted
ex parte
communication in violation of
United States v. Culp,
. Defendants also object to the district court’s refusal to compel production of a CD-Rom holding battery data. The CD-Rom contained an inventory of manufacturing codes and internal serial numbers that were placed on the batteries. We do not see how this information is relevant to defendants' case, and we find no error in the district court's decision to deny defendants’ motion to compel.
