Information on Result #709308
Linear OA(4218, 1050, F4, 57) (dual of [1050, 832, 58]-code), using construction XX applied to C1 = C([1019,50]), C2 = C([1,52]), C3 = C1 + C2 = C([1,50]), and C∩ = C1 ∩ C2 = C([1019,52]) based on
- 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 = {−4,−3,…,50}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4195, 1023, F4, 52) (dual of [1023, 828, 53]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4211, 1023, F4, 57) (dual of [1023, 812, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,52}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4190, 1023, F4, 50) (dual of [1023, 833, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), using
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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.