Information on Result #2274460
Linear OA(4249, 1081, F4, 62) (dual of [1081, 832, 63]-code), using 1 times code embedding in larger space based on linear OA(4248, 1080, F4, 62) (dual of [1080, 832, 63]-code), using
- construction XX applied to C1 = C([293,349]), C2 = C([288,343]), C3 = C1 + C2 = C([293,343]), and C∩ = C1 ∩ C2 = C([288,349]) [i] based on
- linear OA(4211, 1023, F4, 57) (dual of [1023, 812, 58]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {293,294,…,349}, and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(4211, 1023, F4, 56) (dual of [1023, 812, 57]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {288,289,…,343}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4231, 1023, F4, 62) (dual of [1023, 792, 63]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {288,289,…,349}, and designed minimum distance d ≥ |I|+1 = 63 [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 = {293,294,…,343}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(410, 30, F4, 5) (dual of [30, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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.