Information on Result #709026
Linear OA(4212, 1073, F4, 52) (dual of [1073, 861, 53]-code), using construction XX applied to C1 = C([292,340]), C2 = C([299,343]), C3 = C1 + C2 = C([299,340]), and C∩ = C1 ∩ C2 = C([292,343]) based on
- linear OA(4185, 1023, F4, 49) (dual of [1023, 838, 50]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,340}, and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(4171, 1023, F4, 45) (dual of [1023, 852, 46]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {299,300,…,343}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4196, 1023, F4, 52) (dual of [1023, 827, 53]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,343}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4160, 1023, F4, 42) (dual of [1023, 863, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {299,300,…,340}, and designed minimum distance d ≥ |I|+1 = 43 [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(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.