Information on Result #709507
Linear OA(4230, 1045, F4, 60) (dual of [1045, 815, 61]-code), using construction XX applied to C1 = C([283,341]), C2 = C([287,342]), C3 = C1 + C2 = C([287,341]), and C∩ = C1 ∩ C2 = C([283,342]) based on
- linear OA(4221, 1023, F4, 59) (dual of [1023, 802, 60]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {283,284,…,341}, and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(4211, 1023, F4, 56) (dual of [1023, 812, 57]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {287,288,…,342}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4226, 1023, F4, 60) (dual of [1023, 797, 61]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {283,284,…,342}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {287,288,…,341}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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.