Information on Result #709597
Linear OA(4254, 1063, F4, 65) (dual of [1063, 809, 66]-code), using construction XX applied to C1 = C([287,349]), C2 = C([285,342]), C3 = C1 + C2 = C([287,342]), and C∩ = C1 ∩ C2 = C([285,349]) 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 = {287,288,…,349}, and designed minimum distance d ≥ |I|+1 = 64 [i]
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {285,286,…,342}, and designed minimum distance d ≥ |I|+1 = 59 [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 = {285,286,…,349}, and designed minimum distance d ≥ |I|+1 = 66 [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(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(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.