4 problems

Let $p>5$ be an odd prime, let $C_{NQ}\subset {\mathbb F}^{2p}$ be the quasi-quadratic residue code, and let $C'$ be the code spanned by $C_{NQ}$ and the all-ones codeword. Let…

Let $p>5$ be an odd prime, let $Q,N\subset GF(p)^\times$ be the quadratic residues and non-residues, and let $C_{NQ}$ be the quasi-quadratic residue code … where…

Let an ACG-ALP decoder be applied to a quadratic residue code, and suppose that it declares a decoding failure. ACG-ALP proximity conjecture. The solution produced by the ACG-ALP d…

Let $\mathcal{C}$ be an extended $Z_{2^m}$-quadratic residue code, and let a punctured code be obtained from $\mathcal{C}$ by deleting one coordinate. Punctured extended quadratic…