Information on Result #852770
Linear OOA(9100, 372, F9, 2, 36) (dual of [(372, 2), 644, 37]-NRT-code), using OOA 2-folding based on linear OA(9100, 744, F9, 36) (dual of [744, 644, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(9100, 745, F9, 36) (dual of [745, 645, 37]-code), using
- construction XX applied to C1 = C([725,30]), C2 = C([0,32]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([725,32]) [i] based on
- linear OA(991, 728, F9, 34) (dual of [728, 637, 35]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,30}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(988, 728, F9, 33) (dual of [728, 640, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(997, 728, F9, 36) (dual of [728, 631, 37]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−3,−2,…,32}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(982, 728, F9, 31) (dual of [728, 646, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(92, 10, F9, 2) (dual of [10, 8, 3]-code or 10-arc in PG(1,9)), using
- extended Reed–Solomon code RSe(8,9) [i]
- Hamming code H(2,9) [i]
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- construction XX applied to C1 = C([725,30]), C2 = C([0,32]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([725,32]) [i] based on
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.