Information on Result #709905
Linear OA(543, 135, F5, 17) (dual of [135, 92, 18]-code), using construction XX applied to C1 = C([16,30]), C2 = C([19,32]), C3 = C1 + C2 = C([19,30]), and C∩ = C1 ∩ C2 = C([16,32]) based on
- linear OA(536, 124, F5, 15) (dual of [124, 88, 16]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,30}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(534, 124, F5, 14) (dual of [124, 90, 15]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,32}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- 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 = {16,17,…,32}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(530, 124, F5, 12) (dual of [124, 94, 13]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {19,20,…,30}, and designed minimum distance d ≥ |I|+1 = 13 [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.