Information on Result #707721
Linear OA(496, 1070, F4, 22) (dual of [1070, 974, 23]-code), using construction XX applied to C1 = C([331,349]), C2 = C([328,342]), C3 = C1 + C2 = C([331,342]), and C∩ = C1 ∩ C2 = C([328,349]) based on
- linear OA(471, 1023, F4, 19) (dual of [1023, 952, 20]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {331,332,…,349}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(456, 1023, F4, 15) (dual of [1023, 967, 16]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {328,329,…,342}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(481, 1023, F4, 22) (dual of [1023, 942, 23]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {328,329,…,349}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(446, 1023, F4, 12) (dual of [1023, 977, 13]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {331,332,…,342}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(412, 34, F4, 6) (dual of [34, 22, 7]-code), using
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- extended Reed–Solomon code RSe(11,16) [i]
- trace code [i] based on linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using
- linear OA(43, 13, F4, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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.