Information on Result #707511
Linear OA(438, 1033, F4, 10) (dual of [1033, 995, 11]-code), using construction XX applied to C1 = C([333,341]), C2 = C([336,342]), C3 = C1 + C2 = C([336,341]), and C∩ = C1 ∩ C2 = C([333,342]) based on
- linear OA(431, 1023, F4, 9) (dual of [1023, 992, 10]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {333,334,…,341}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,342}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {333,334,…,342}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(421, 1023, F4, 6) (dual of [1023, 1002, 7]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {336,337,…,341}, and designed minimum distance d ≥ |I|+1 = 7 [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(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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.