Information on Result #720785
Linear OA(9145, 770, F9, 49) (dual of [770, 625, 50]-code), using construction XX applied to C1 = C([719,36]), C2 = C([0,39]), C3 = C1 + C2 = C([0,36]), and C∩ = C1 ∩ C2 = C([719,39]) based on
- linear OA(9121, 728, F9, 46) (dual of [728, 607, 47]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,36}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(9130, 728, F9, 49) (dual of [728, 598, 50]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,39}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(997, 728, F9, 37) (dual of [728, 631, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(912, 30, F9, 8) (dual of [30, 18, 9]-code), using
- extended algebraic-geometric code AGe(F,21P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- linear OA(93, 12, F9, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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.