Information on Result #707049
Linear OA(4140, 263, F4, 51) (dual of [263, 123, 52]-code), using construction XX applied to C1 = C([52,101]), C2 = C([51,97]), C3 = C1 + C2 = C([52,97]), and C∩ = C1 ∩ C2 = C([51,101]) based on
- linear OA(4135, 255, F4, 50) (dual of [255, 120, 51]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,101}, and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4133, 255, F4, 47) (dual of [255, 122, 48]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,97}, and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(4137, 255, F4, 51) (dual of [255, 118, 52]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,101}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4131, 255, F4, 46) (dual of [255, 124, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {52,53,…,97}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- linear OA(40, 2, F4, 0) (dual of [2, 2, 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.