Information on Result #708791
Linear OA(4171, 1047, F4, 44) (dual of [1047, 876, 45]-code), using construction XX applied to C1 = C([299,340]), C2 = C([303,342]), C3 = C1 + C2 = C([303,340]), and C∩ = C1 ∩ C2 = C([299,342]) based on
- linear OA(4160, 1023, F4, 42) (dual of [1023, 863, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {299,300,…,340}, and designed minimum distance d ≥ |I|+1 = 43 [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(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 = {299,300,…,342}, and designed minimum distance d ≥ |I|+1 = 45 [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(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(41, 7, F4, 1) (dual of [7, 6, 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.