Information on Result #706658
Linear OA(4119, 284, F4, 39) (dual of [284, 165, 40]-code), using construction XX applied to C1 = C([251,30]), C2 = C([1,34]), C3 = C1 + C2 = C([1,30]), and C∩ = C1 ∩ C2 = C([251,34]) based on
- linear OA(4103, 255, F4, 35) (dual of [255, 152, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,30}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(496, 255, F4, 34) (dual of [255, 159, 35]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−4,−3,…,34}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(490, 255, F4, 30) (dual of [255, 165, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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, 10, F4, 3) (dual of [10, 6, 4]-code or 10-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.