WebThere is the long-standing question whether the class of cyclic codes is asymptotically good. By an old result of Lin and Weldon, long Bose-Chaudhuri-Hocquenhem (BCH) codes are asymptotically bad. Berman proved that cyclic codes are asymptotically bad ... WebSep 19, 2024 · This paper defines derivative descendants and ascendants of extended cyclic codes from the derivative of the Mattson-Solomon polynomials. It proves that the derivative descendants of an...
Optimal p-ary cyclic codes with two zeros SpringerLink
WebDec 9, 2024 · Binary Cyclic Codes. We compute the covering radius of each binary cyclic code of length < 64 (for both even and odd lengths) and redundancy < 28 . We also … WebMar 2, 2024 · A subtype of linear block codes is binary cyclic codes. They have a lot of important features. Errors caused by bursts of noise that influence multiple consecutive … thepfca
Modular and p-adic cyclic codes - 百度学术
WebIn the extended binary Golay code, all code words have Hamming weights of 0, 8, 12, 16, or 24. ... This is an 11-element subset of the cyclic group Z/23Z. Consider the translates t+N of this subset. Augment each translate to a 12-element set S t by adding an element ∞. WebDec 9, 2024 · Fundamentals of Classical and Modern Error-Correcting Codes We compute the covering radius of each binary cyclic code of length < 64 (for both even and odd lengths) and redundancy < 28 . We also compute the covering radii of their punctured codes and shortened codes. Thus we give exact covering radii of over six thousand codes. WebBinary Cyclic codes was first studied by Prange in 1957. Cyclic codes form an important subclass of linear codes. These codes are attractive for two reasons: first, encoding and syndrome computation can be … sicily kariuki cs health