Information on Result #712852
Linear OA(7100, 202, F7, 40) (dual of [202, 102, 41]-code), using construction XX applied to C1 = C([29,67]), C2 = C([28,58]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([28,67]) based on
- linear OA(785, 171, F7, 39) (dual of [171, 86, 40]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,67}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(770, 171, F7, 31) (dual of [171, 101, 32]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,58}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(788, 171, F7, 40) (dual of [171, 83, 41]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {28,29,…,67}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(767, 171, F7, 30) (dual of [171, 104, 31]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {29,30,…,58}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(712, 28, F7, 8) (dual of [28, 16, 9]-code), using
- 4 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- extended quadratic residue code Qe(32,7) [i]
- 4 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 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.