Information on Result #709900
Linear OA(553, 149, F5, 19) (dual of [149, 96, 20]-code), using construction XX applied to C1 = C([119,11]), C2 = C([0,13]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([119,13]) based on
- linear OA(540, 124, F5, 17) (dual of [124, 84, 18]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,11}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(546, 124, F5, 19) (dual of [124, 78, 20]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,13}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(528, 124, F5, 12) (dual of [124, 96, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(56, 18, F5, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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.