Oct 22, 2024 · Request PDF | NMDS codes of maximal length over Fq, 8 ≤ q ≤ 11 | A linear [n,k,d]q code C is called near maximum-distance separable (NMDS) ...
Semantic Scholar extracted view of "NMDS Codes of maximal length over Fq, 8 <= q <= 11" by S. Marcugini et al.
The maximum length of an NMDS code of dimension k over the field Fq will be denoted by m0(k; q). The following theorem [8] gives some general bounds on m0(k; q) ...
Missing: Fq, | Show results with:Fq,
The maximum length of an NMDS [n,k,d]/sub q/ code is denoted by m'(k,q). In this correspondence, it has been verified by a computer-based proof that m'(5,8)=15, ...
Apr 1, 2002 · It is shown that for an elliptic curve with ten GF(5)-rational points, the associated near-MDS code can be extended by adding two more ...
Missing: Fq, | Show results with:Fq,
Aug 19, 2022 · The MDS conjecture states that the maximum length of a nontrivial MDS code is less than or equal to q + 2 if q is even and k = 3 or k = q−1 and ...
One main topic in NMDS codes is to determine the maximum possible length m ′ ( k , q ) for q-ary nontrivial NMDS codes. Some results have been obtained [18].
Missing: Fq, | Show results with:Fq,
Quantum maximum-distance-separable (MDS) codes are an important class of quantum codes. In this paper we mainly use classical Hermitian self-orthogonal ...
We now summarize some known existence results on maximal length MDS codes. Theorem 1. (a) A q-ary (q+k −1,k)-MDS code C does not exist if q ≡ 1 ...
Missing: NMDS Fq,
Apr 16, 2019 · Quantum maximum-distance-separable (MDS) codes are an important class of quantum codes. In this paper we mainly use classical Hermitian ...