Information on Result #719446
Linear OA(983, 778, F9, 25) (dual of [778, 695, 26]-code), using construction XX applied to C1 = C([722,12]), C2 = C([1,18]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([722,18]) based on
- linear OA(952, 728, F9, 19) (dual of [728, 676, 20]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,12}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(948, 728, F9, 18) (dual of [728, 680, 19]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(967, 728, F9, 25) (dual of [728, 661, 26]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−6,−5,…,18}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(933, 728, F9, 12) (dual of [728, 695, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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
- linear OA(97, 22, F9, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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.