Information on Result #709768
Linear OA(535, 147, F5, 12) (dual of [147, 112, 13]-code), using construction XX applied to C1 = C([119,5]), C2 = C([1,6]), C3 = C1 + C2 = C([1,5]), and C∩ = C1 ∩ C2 = C([119,6]) based on
- linear OA(525, 124, F5, 11) (dual of [124, 99, 12]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,5}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(515, 124, F5, 6) (dual of [124, 109, 7]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(528, 124, F5, 12) (dual of [124, 96, 13]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−5,−4,…,6}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(512, 124, F5, 5) (dual of [124, 112, 6]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(57, 20, F5, 5) (dual of [20, 13, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 21, F5, 5) (dual of [21, 14, 6]-code), using
- 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.