Information on Result #828450
Linear OOA(4231, 544, F4, 2, 56) (dual of [(544, 2), 857, 57]-NRT-code), using OOA 2-folding based on linear OA(4231, 1088, F4, 56) (dual of [1088, 857, 57]-code), using
- construction XX applied to C1 = C([342,391]), C2 = C([336,385]), C3 = C1 + C2 = C([342,385]), and C∩ = C1 ∩ C2 = C([336,391]) [i] based on
- linear OA(4190, 1023, F4, 50) (dual of [1023, 833, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,391}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,385}, and designed minimum distance d ≥ |I|+1 = 51 [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 = {336,337,…,391}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {342,343,…,385}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(410, 34, F4, 5) (dual of [34, 24, 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(410, 31, F4, 5) (dual of [31, 21, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-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.