Information on Result #709162
Linear OA(4218, 1062, F4, 55) (dual of [1062, 844, 56]-code), using construction XX applied to C1 = C([288,341]), C2 = C([295,342]), C3 = C1 + C2 = C([295,341]), and C∩ = C1 ∩ C2 = C([288,342]) based on
- linear OA(4201, 1023, F4, 54) (dual of [1023, 822, 55]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {288,289,…,341}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4181, 1023, F4, 48) (dual of [1023, 842, 49]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {295,296,…,342}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4206, 1023, F4, 55) (dual of [1023, 817, 56]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {288,289,…,342}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {295,296,…,341}, and designed minimum distance d ≥ |I|+1 = 48 [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(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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.