Information on Result #720370
Linear OA(9119, 759, F9, 41) (dual of [759, 640, 42]-code), using construction XX applied to C1 = C([52,91]), C2 = C([60,92]), C3 = C1 + C2 = C([60,91]), and C∩ = C1 ∩ C2 = C([52,92]) based on
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {52,53,…,91}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,92}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(9109, 728, F9, 41) (dual of [728, 619, 42]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {52,53,…,92}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(985, 728, F9, 32) (dual of [728, 643, 33]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {60,61,…,91}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(910, 28, F9, 7) (dual of [28, 18, 8]-code), using
- extended algebraic-geometric code AGe(F,20P) [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,20P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.