Information on Result #710056
Linear OA(5101, 157, F5, 44) (dual of [157, 56, 45]-code), using construction XX applied to C1 = C([113,31]), C2 = C([1,32]), C3 = C1 + C2 = C([1,31]), and C∩ = C1 ∩ C2 = C([113,32]) based on
- linear OA(583, 124, F5, 43) (dual of [124, 41, 44]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−11,−10,…,31}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(564, 124, F5, 32) (dual of [124, 60, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−11,−10,…,32}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(561, 124, F5, 31) (dual of [124, 63, 32]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(515, 30, F5, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,5) [i]
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.