Information on Result #709383
Linear OA(4241, 1071, F4, 60) (dual of [1071, 830, 61]-code), using construction XX applied to C1 = C([284,340]), C2 = C([291,343]), C3 = C1 + C2 = C([291,340]), and C∩ = C1 ∩ C2 = C([284,343]) based on
- linear OA(4215, 1023, F4, 57) (dual of [1023, 808, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {284,285,…,340}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4201, 1023, F4, 53) (dual of [1023, 822, 54]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {291,292,…,343}, and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4226, 1023, F4, 60) (dual of [1023, 797, 61]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {284,285,…,343}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(4190, 1023, F4, 50) (dual of [1023, 833, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {291,292,…,340}, and designed minimum distance d ≥ |I|+1 = 51 [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(43, 14, F4, 2) (dual of [14, 11, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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.