Information on Result #691027
Linear OA(994, 117, F9, 57) (dual of [117, 23, 58]-code), using construction X applied to C([0,30]) ⊂ C([0,20]) based on
- linear OA(973, 82, F9, 61) (dual of [82, 9, 62]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- linear OA(957, 82, F9, 41) (dual of [82, 25, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(921, 35, F9, 15) (dual of [35, 14, 16]-code), using
- construction X applied to AG(F,8P) ⊂ AG(F,9P) [i] based on
- linear OA(920, 32, F9, 15) (dual of [32, 12, 16]-code), using algebraic-geometric code AG(F,8P) with degP = 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using a function field by Sémirat [i]
- linear OA(918, 32, F9, 13) (dual of [32, 14, 14]-code), using algebraic-geometric code AG(F,9P) with degPÂ =Â 2 [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32 (see above)
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to AG(F,8P) ⊂ AG(F,9P) [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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.