Information on Result #707312
Linear OA(4167, 351, F4, 51) (dual of [351, 184, 52]-code), using construction XX applied to C1 = C([91,140]), C2 = C([90,137]), C3 = C1 + C2 = C([91,137]), and C∩ = C1 ∩ C2 = C([90,140]) based on
- linear OA(4160, 341, F4, 50) (dual of [341, 181, 51]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,140}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4160, 341, F4, 48) (dual of [341, 181, 49]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {90,91,…,137}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4165, 341, F4, 51) (dual of [341, 176, 52]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {90,91,…,140}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4155, 341, F4, 47) (dual of [341, 186, 48]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,137}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.