Information on Result #706765
Linear OA(4139, 295, F4, 44) (dual of [295, 156, 45]-code), using construction XX applied to C1 = C([43,84]), C2 = C([51,86]), C3 = C1 + C2 = C([51,84]), and C∩ = C1 ∩ C2 = C([43,86]) based on
- linear OA(4120, 255, F4, 42) (dual of [255, 135, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {43,44,…,84}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,86}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4125, 255, F4, 44) (dual of [255, 130, 45]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {43,44,…,86}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(496, 255, F4, 34) (dual of [255, 159, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,84}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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.