Information on Result #709385
Linear OA(4240, 1070, F4, 60) (dual of [1070, 830, 61]-code), using construction XX applied to C1 = C([284,341]), C2 = C([291,343]), C3 = C1 + C2 = C([291,341]), and C∩ = C1 ∩ C2 = C([284,343]) based on
- linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {284,285,…,341}, and designed minimum distance d ≥ |I|+1 = 59 [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(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {291,292,…,341}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(413, 36, F4, 6) (dual of [36, 23, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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.