The weight spectra of MDS codes of length n and dimension k over the arbitrary alphabets are studied. For all q-ary MDS codes of dimension k containing the zero codeword, it is shown that all k weights from n to n − k + 1 are realized.
Oct 12, 2019
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Aug 12, 2009 · Abstract:The weights in MDS codes of length n and dimension k over the finite field GF(q) are studied. Up to some explicit exceptional cases ...
Mar 2, 2020 · On the Weights of General MDS Codes. Abstract: The weight spectra of MDS codes of length n and dimension k over arbitrary alphabets are studied.
Oct 22, 2024 · The weights in MDS codes of length n and dimension k over the finite field GF(q) are studied. Up to some explicit exceptional cases, the MDS ...
Dec 27, 2010 · Theorem 6: Any MDS code with parameters of length has nonzero weights. Proof: Trivially, a code with minimum distance can have at most nonzero ...
The weights in maximum distance separable (MDS) codes of length n and dimension k over the finite field GF(q) are studied and are shown to contain all k ...
For a positive integer b ≥ 2 , the b -symbol code is a new coding framework proposed to combat b -errors in b -symbol read channels.
The weights in maximum distance separable (MDS) codes of length n and dimension k over the finite field GF(q) are studied. Up to some explicit exceptional ...
Jul 30, 2010 · The weights in MDS codes. IEEE Transactions on. Information Theory ... Abstract—The weights in MDS codes of length n and dimen- sion k ...
The volume is divided into three parts: the background to teaching Persian literature, teaching Persian literature: pedagogy, translation and canon, and ...