Information on Result #709924
Linear OA(557, 148, F5, 21) (dual of [148, 91, 22]-code), using construction XX applied to C1 = C([119,13]), C2 = C([1,15]), C3 = C1 + C2 = C([1,13]), and C∩ = C1 ∩ C2 = C([119,15]) based on
- 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(536, 124, F5, 15) (dual of [124, 88, 16]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(549, 124, F5, 21) (dual of [124, 75, 22]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,15}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(533, 124, F5, 13) (dual of [124, 91, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(57, 20, F5, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [i]
- discarding factors / shortening the dual code based on linear OA(51, 5, F5, 1) (dual of [5, 4, 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.