Information on Result #706216
Linear OA(473, 288, F4, 22) (dual of [288, 215, 23]-code), using construction XX applied to C1 = C([251,13]), C2 = C([1,17]), C3 = C1 + C2 = C([1,13]), and C∩ = C1 ∩ C2 = C([251,17]) based on
- linear OA(453, 255, F4, 18) (dual of [255, 202, 19]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,13}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(450, 255, F4, 17) (dual of [255, 205, 18]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(463, 255, F4, 22) (dual of [255, 192, 23]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,17}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(440, 255, F4, 13) (dual of [255, 215, 14]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), 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.