Information on Result #707033
Linear OA(4143, 271, F4, 51) (dual of [271, 128, 52]-code), using construction XX applied to C1 = C([52,101]), C2 = C([57,102]), C3 = C1 + C2 = C([57,101]), and C∩ = C1 ∩ C2 = C([52,102]) 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(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(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 = {52,53,…,102}, and designed minimum distance d ≥ |I|+1 = 52 [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, 14, F4, 4) (dual of [14, 8, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-code), 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.