Information on Result #709919
Linear OA(551, 142, F5, 19) (dual of [142, 91, 20]-code), using construction XX applied to C1 = C([121,13]), C2 = C([1,15]), C3 = C1 + C2 = C([1,13]), and C∩ = C1 ∩ C2 = C([121,15]) based on
- linear OA(543, 124, F5, 17) (dual of [124, 81, 18]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−3,−2,…,13}, and designed minimum distance d ≥ |I|+1 = 18 [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(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 = {−3,−2,…,15}, and designed minimum distance d ≥ |I|+1 = 20 [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(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,5)), 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.