Information on Result #710374
Linear OA(5132, 157, F5, 75) (dual of [157, 25, 76]-code), using construction XX applied to C1 = C([113,62]), C2 = C([1,63]), C3 = C1 + C2 = C([1,62]), and C∩ = C1 ∩ C2 = C([113,63]) based on
- linear OA(5114, 124, F5, 74) (dual of [124, 10, 75]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−11,−10,…,62}, and designed minimum distance d ≥ |I|+1 = 75 [i]
- linear OA(5101, 124, F5, 63) (dual of [124, 23, 64]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(5117, 124, F5, 75) (dual of [124, 7, 76]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−11,−10,…,63}, and designed minimum distance d ≥ |I|+1 = 76 [i]
- linear OA(598, 124, F5, 62) (dual of [124, 26, 63]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [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.