Information on Result #709625
Linear OA(4249, 1052, F4, 65) (dual of [1052, 803, 66]-code), using construction XX applied to C1 = C([1019,58]), C2 = C([1,60]), C3 = C1 + C2 = C([1,58]), and C∩ = C1 ∩ C2 = C([1019,60]) based on
- linear OA(4236, 1023, F4, 63) (dual of [1023, 787, 64]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,58}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(4225, 1023, F4, 60) (dual of [1023, 798, 61]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4241, 1023, F4, 65) (dual of [1023, 782, 66]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,60}, and designed minimum distance d ≥ |I|+1 = 66 [i]
- linear OA(4220, 1023, F4, 58) (dual of [1023, 803, 59]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(47, 23, F4, 4) (dual of [23, 16, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 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.