Information on Result #706163
Linear OA(464, 283, F4, 19) (dual of [283, 219, 20]-code), using construction XX applied to C1 = C([251,12]), C2 = C([1,14]), C3 = C1 + C2 = C([1,12]), and C∩ = C1 ∩ C2 = C([251,14]) based on
- linear OA(449, 255, F4, 17) (dual of [255, 206, 18]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,12}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(444, 255, F4, 14) (dual of [255, 211, 15]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(457, 255, F4, 19) (dual of [255, 198, 20]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,14}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(436, 255, F4, 12) (dual of [255, 219, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(46, 19, F4, 4) (dual of [19, 13, 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(41, 9, F4, 1) (dual of [9, 8, 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.