Information on Result #709512
Linear OA(4249, 1064, F4, 63) (dual of [1064, 815, 64]-code), using construction XX applied to C1 = C([280,340]), C2 = C([287,342]), C3 = C1 + C2 = C([287,340]), and C∩ = C1 ∩ C2 = C([280,342]) based on
- 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(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(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(4205, 1023, F4, 54) (dual of [1023, 818, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {287,288,…,340}, and designed minimum distance d ≥ |I|+1 = 55 [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, 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.