Information on Result #690357
Linear OA(994, 756, F9, 32) (dual of [756, 662, 33]-code), using construction X applied to Ce(31) ⊂ Ce(24) based on
- linear OA(985, 729, F9, 32) (dual of [729, 644, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(967, 729, F9, 25) (dual of [729, 662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(99, 27, F9, 6) (dual of [27, 18, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(99, 28, F9, 6) (dual of [28, 19, 7]-code), using
- extended algebraic-geometric code AGe(F,21P) [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,21P) [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(99, 28, F9, 6) (dual of [28, 19, 7]-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.
Other Results with Identical Parameters
None.
Depending Results
None.