Information on Result #708807
Linear OA(4190, 1070, F4, 47) (dual of [1070, 880, 48]-code), using construction XX applied to C1 = C([305,349]), C2 = C([303,342]), C3 = C1 + C2 = C([305,342]), and C∩ = C1 ∩ C2 = C([303,349]) based on
- linear OA(4166, 1023, F4, 45) (dual of [1023, 857, 46]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,349}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {303,304,…,342}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4176, 1023, F4, 47) (dual of [1023, 847, 48]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {303,304,…,349}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,342}, 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(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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.