Information on Result #708396
Linear OA(4154, 1064, F4, 38) (dual of [1064, 910, 39]-code), using construction XX applied to C1 = C([305,340]), C2 = C([312,342]), C3 = C1 + C2 = C([312,340]), and C∩ = C1 ∩ C2 = C([305,342]) based on
- linear OA(4135, 1023, F4, 36) (dual of [1023, 888, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,340}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4116, 1023, F4, 31) (dual of [1023, 907, 32]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,342}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,342}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4110, 1023, F4, 29) (dual of [1023, 913, 30]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {312,313,…,340}, and designed minimum distance d ≥ |I|+1 = 30 [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.