Information on Result #709732
Linear OA(519, 135, F5, 7) (dual of [135, 116, 8]-code), using construction XX applied to C1 = C([26,30]), C2 = C([29,32]), C3 = C1 + C2 = C([29,30]), and C∩ = C1 ∩ C2 = C([26,32]) based on
- linear OA(512, 124, F5, 5) (dual of [124, 112, 6]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,28,29,30}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(510, 124, F5, 4) (dual of [124, 114, 5]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30,31,32}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(516, 124, F5, 7) (dual of [124, 108, 8]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,32}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(56, 124, F5, 2) (dual of [124, 118, 3]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {29,30}, and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(2,5) [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- Reed–Solomon code RS(4,5) [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.