Information on Result #690348
Linear OA(9118, 756, F9, 41) (dual of [756, 638, 42]-code), using construction X applied to Ce(40) ⊂ Ce(33) based on
- linear OA(9109, 729, F9, 41) (dual of [729, 620, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(991, 729, F9, 34) (dual of [729, 638, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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.