Information on Result #712883
Linear OA(7104, 206, F7, 41) (dual of [206, 102, 42]-code), using construction XX applied to C1 = C([29,67]), C2 = C([27,58]), C3 = C1 + C2 = C([29,58]), and C∩ = C1 ∩ C2 = C([27,67]) 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(773, 171, F7, 32) (dual of [171, 98, 33]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {27,28,…,58}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(791, 171, F7, 41) (dual of [171, 80, 42]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {27,28,…,67}, and designed minimum distance d ≥ |I|+1 = 42 [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(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
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.