Information on Result #710243
Linear OA(5106, 157, F5, 48) (dual of [157, 51, 49]-code), using construction XX applied to C1 = C([16,61]), C2 = C([26,63]), C3 = C1 + C2 = C([26,61]), and C∩ = C1 ∩ C2 = C([16,63]) based on
- linear OA(588, 124, F5, 46) (dual of [124, 36, 47]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,61}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(574, 124, F5, 38) (dual of [124, 50, 39]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,63}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(592, 124, F5, 48) (dual of [124, 32, 49]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {16,17,…,63}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {26,27,…,61}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(513, 28, F5, 9) (dual of [28, 15, 10]-code), using
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- 2 times truncation [i] based on linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- 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.