Information on Result #712973
Linear OA(7106, 202, F7, 43) (dual of [202, 96, 44]-code), using construction XX applied to C1 = C([164,33]), C2 = C([1,35]), C3 = C1 + C2 = C([1,33]), and C∩ = C1 ∩ C2 = C([164,35]) based on
- 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 = {−7,−6,…,33}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(778, 171, F7, 35) (dual of [171, 93, 36]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(794, 171, F7, 43) (dual of [171, 77, 44]-code), using the BCH-code C(I) with length 171 | 73−1, defining interval I = {−7,−6,…,35}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(775, 171, F7, 33) (dual of [171, 96, 34]-code), using the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(711, 27, F7, 7) (dual of [27, 16, 8]-code), using
- 5 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]
- 5 times truncation [i] based on linear OA(716, 32, F7, 12) (dual of [32, 16, 13]-code), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-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.