Information on Result #690358
Linear OA(991, 756, F9, 31) (dual of [756, 665, 32]-code), using construction X applied to Ce(30) ⊂ Ce(23) based on
- linear OA(982, 729, F9, 31) (dual of [729, 647, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(964, 729, F9, 24) (dual of [729, 665, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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.