Information on Result #708573
Linear OA(4169, 1064, F4, 42) (dual of [1064, 895, 43]-code), using construction XX applied to C1 = C([301,340]), C2 = C([308,342]), C3 = C1 + C2 = C([308,340]), and C∩ = C1 ∩ C2 = C([301,342]) based on
- linear OA(4150, 1023, F4, 40) (dual of [1023, 873, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,340}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {308,309,…,342}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,342}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4125, 1023, F4, 33) (dual of [1023, 898, 34]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {308,309,…,340}, and designed minimum distance d ≥ |I|+1 = 34 [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.