When Is Gilbert Varshamov Bound Better Than Bch

Last Updated on January 3, 2024 by Paganoto

Lecture 14: Codes Better than Random – Rutgers University

Tsfasman, S. G. Vladut, and T. Zink, ”Modular curves, Shimura curves, and Goppa codes, better than Varshamov–Gilbert bound” Math. Nachr …

Long Nonbinary Codes Exceeding the Gilbert-Varshamov …

by S Yekhanin · Cited by 28 — Note that the above BCH bound (3) is better than the Var- shamov bound (2) for SОНП`РyСi and coincides with (2) for. SТoС`Еy6i .

Long nonbinary codes exceeding the … – eScholarship.org

asymptotically surpass BCH codes and the Gilbert–Varshamov bound were … Note that the above BCH bound (3) is better than the Varshamov.

Long Nonbinary Codes Exceeding the Gilbert … – arXiv

by S Yekhanin · 2004 · Cited by 28 — Note that the above BCH bound (3) is better than the Var- shamov bound (2) for q<d − 1 and coincides with (2) for q ≥ d − 1. Note also that (3) meets the …

[cs/0406039] Long Nonbinary Codes Exceeding the Gilbert

by S Yekhanin · 2004 · Cited by 28 — … codes of fixed distance that asymptotically surpass BCH codes and the Gilbert–Varshamov bound were … (or arXiv:cs/0406039v3 [cs.

Long nonbinary codes exceeding the Gilbert-Varshamov …

by S Yekhanin · 2004 · Cited by 28 — Long nonbinary codes exceeding the Gilbert-Varshamov bound for any fixed distance … (BCH) codes and have the lowest asymptotic redundancy known to date.

Strengthening the Gilbert–Varshamov bound

by A Barg · 2000 · Cited by 19 — usually better than this bound. Therefore, the question whether better nonasymptotic bounds are possible seems to be a natural one.

Long Nonbinary Codes Exceeding the Gilbert … – ResearchGate

Long Nonbinary Codes Exceeding the Gilbert–Varshamov Bound for . … Long cyclic codes over GF(4) and GF(8) better than BCH codes in the …

Section 1

linear codes in expectation achieved the Gilbert–Varshamov bound: k ≥ n − log2(Vol2(d − 1,n)). (1). (plus or minus 1…). We also saw in class that BCH …

Check matrix criterion for min dist – www-users.cs.umn.edu

High info rate vs. high min distance. Want simple description, too … Gilbert–Varshamov bound for linear codes … BCH (Bose-Chaudhuri-Hocquengham) codes,.

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