Information on Result #2273976
Linear OA(4207, 1079, F4, 51) (dual of [1079, 872, 52]-code), using 2 times code embedding in larger space based on linear OA(4205, 1077, F4, 51) (dual of [1077, 872, 52]-code), using
- construction XX applied to C1 = C([1018,40]), C2 = C([0,45]), C3 = C1 + C2 = C([0,40]), and C∩ = C1 ∩ C2 = C([1018,45]) [i] based on
- linear OA(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,40}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4171, 1023, F4, 46) (dual of [1023, 852, 47]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,45], and designed minimum distance d ≥ |I|+1 = 47 [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 = {−5,−4,…,45}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4151, 1023, F4, 41) (dual of [1023, 872, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- 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
- linear OA(47, 27, F4, 4) (dual of [27, 20, 5]-code) (see above)
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.