Information on Result #708988
Linear OA(4214, 1090, F4, 51) (dual of [1090, 876, 52]-code), using construction XX applied to C1 = C([296,340]), C2 = C([303,346]), C3 = C1 + C2 = C([303,340]), and C∩ = C1 ∩ C2 = C([296,346]) based on
- linear OA(4170, 1023, F4, 45) (dual of [1023, 853, 46]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {296,297,…,340}, and designed minimum distance d ≥ |I|+1 = 46 [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 = {303,304,…,346}, and designed minimum distance d ≥ |I|+1 = 45 [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 = {296,297,…,346}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4145, 1023, F4, 38) (dual of [1023, 878, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {303,304,…,340}, and designed minimum distance d ≥ |I|+1 = 39 [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(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), 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
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.