Information on Result #707038
Linear OA(4145, 269, F4, 52) (dual of [269, 124, 53]-code), using construction XX applied to C1 = C([51,101]), C2 = C([57,102]), C3 = C1 + C2 = C([57,101]), and C∩ = C1 ∩ C2 = C([51,102]) based on
- 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(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,102}, and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(4139, 255, F4, 52) (dual of [255, 116, 53]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,102}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(4127, 255, F4, 45) (dual of [255, 128, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,101}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- 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.