Information on Result #857452
Linear OOA(1679, 290, F16, 2, 29) (dual of [(290, 2), 501, 30]-NRT-code), using OOA 2-folding based on linear OA(1679, 580, F16, 29) (dual of [580, 501, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(1679, 581, F16, 29) (dual of [581, 502, 30]-code), using
- (u, u+v)-construction [i] based on
- linear OA(1621, 67, F16, 14) (dual of [67, 46, 15]-code), using
- construction X applied to AG(F,49P) ⊂ AG(F,51P) [i] based on
- linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1618, 64, F16, 12) (dual of [64, 46, 13]-code), using algebraic-geometric code AG(F,51P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 3, F16, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-code), using algebraic-geometric code AG(F,49P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,49P) ⊂ AG(F,51P) [i] based on
- linear OA(1658, 514, F16, 29) (dual of [514, 456, 30]-code), using
- trace code [i] based on linear OA(25629, 257, F256, 29) (dual of [257, 228, 30]-code or 257-arc in PG(28,256)), using
- extended Reed–Solomon code RSe(228,256) [i]
- the expurgated narrow-sense BCH-code C(I) with length 257 | 2562−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- algebraic-geometric code AG(F, Q+112P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using the rational function field F256(x) [i]
- algebraic-geometric code AG(F, Q+75P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- algebraic-geometric code AG(F, Q+45P) with degQ = 2 and degPÂ =Â 5 [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257 (see above)
- trace code [i] based on linear OA(25629, 257, F256, 29) (dual of [257, 228, 30]-code or 257-arc in PG(28,256)), using
- linear OA(1621, 67, F16, 14) (dual of [67, 46, 15]-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.