Information on Result #709675
Linear OA(4256, 1049, F4, 70) (dual of [1049, 793, 71]-code), using construction XX applied to C1 = C([273,340]), C2 = C([280,342]), C3 = C1 + C2 = C([280,340]), and C∩ = C1 ∩ C2 = C([273,342]) based on
- linear OA(4240, 1023, F4, 68) (dual of [1023, 783, 69]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,340}, and designed minimum distance d ≥ |I|+1 = 69 [i]
- 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 = {280,281,…,342}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(4246, 1023, F4, 70) (dual of [1023, 777, 71]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {273,274,…,342}, and designed minimum distance d ≥ |I|+1 = 71 [i]
- linear OA(4230, 1023, F4, 61) (dual of [1023, 793, 62]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {280,281,…,340}, and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(49, 19, F4, 6) (dual of [19, 10, 7]-code), using
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- extended quadratic residue code Qe(20,4) [i]
- 1 times truncation [i] based on linear OA(410, 20, F4, 7) (dual of [20, 10, 8]-code), using
- linear OA(41, 7, F4, 1) (dual of [7, 6, 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.