Information on Result #688734
Linear OA(881, 95, F8, 53) (dual of [95, 14, 54]-code), using construction XX applied to C([0,27]) ⊂ C([0,19]) ⊂ C([0,18]) based on
- linear OA(861, 65, F8, 55) (dual of [65, 4, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- linear OA(853, 65, F8, 39) (dual of [65, 12, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(817, 27, F8, 13) (dual of [27, 10, 14]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,6P) [i] based on
- linear OA(816, 24, F8, 13) (dual of [24, 8, 14]-code), using algebraic-geometric code AG(F,5P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using the Klein quartic over F8 [i]
- linear OA(814, 24, F8, 11) (dual of [24, 10, 12]-code), using algebraic-geometric code AG(F,6P) with degPÂ =Â 2 [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24 (see above)
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,5P) ⊂ AG(F,6P) [i] based on
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.