Information on Result #719904
Linear OA(9113, 783, F9, 35) (dual of [783, 670, 36]-code), using construction XX applied to C1 = C([719,19]), C2 = C([0,25]), C3 = C1 + C2 = C([0,19]), and C∩ = C1 ∩ C2 = C([719,25]) based on
- linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,19}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(970, 728, F9, 26) (dual of [728, 658, 27]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(994, 728, F9, 35) (dual of [728, 634, 36]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−9,−8,…,25}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(952, 728, F9, 20) (dual of [728, 676, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [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(97, 25, F9, 5) (dual of [25, 18, 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.