Information on Result #708965
Linear OA(4179, 1039, F4, 47) (dual of [1039, 860, 48]-code), using construction XX applied to C1 = C([301,345]), C2 = C([299,342]), C3 = C1 + C2 = C([301,342]), and C∩ = C1 ∩ C2 = C([299,345]) 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 = {301,302,…,345}, 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 = {299,300,…,342}, and designed minimum distance d ≥ |I|+1 = 45 [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 = {299,300,…,345}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,342}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- 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.