Information on Result #690801
Linear OA(984, 107, F9, 53) (dual of [107, 23, 54]-code), using construction X applied to C([0,105]) ⊂ C([0,81]) based on
- linear OA(970, 80, F9, 53) (dual of [80, 10, 54]-code), using contraction [i] based on linear OA(9150, 160, F9, 107) (dual of [160, 10, 108]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,105], and minimum distance d ≥ |{−1,0,…,105}|+1 = 108 (BCH-bound) [i]
- linear OA(957, 80, F9, 41) (dual of [80, 23, 42]-code), using contraction [i] based on linear OA(9137, 160, F9, 83) (dual of [160, 23, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,81], and minimum distance d ≥ |{−1,0,…,81}|+1 = 84 (BCH-bound) [i]
- linear OA(914, 27, F9, 11) (dual of [27, 13, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OA(914, 28, F9, 11) (dual of [28, 14, 12]-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.