Information on Result #708674
Linear OA(4182, 1073, F4, 44) (dual of [1073, 891, 45]-code), using construction XX applied to C1 = C([300,340]), C2 = C([307,343]), C3 = C1 + C2 = C([307,340]), and C∩ = C1 ∩ C2 = C([300,343]) based on
- linear OA(4155, 1023, F4, 41) (dual of [1023, 868, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,340}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4141, 1023, F4, 37) (dual of [1023, 882, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {307,308,…,343}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4166, 1023, F4, 44) (dual of [1023, 857, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,343}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4130, 1023, F4, 34) (dual of [1023, 893, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {307,308,…,340}, and designed minimum distance d ≥ |I|+1 = 35 [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.