Information on Result #706002
Linear OA(424, 269, F4, 7) (dual of [269, 245, 8]-code), using construction XX applied to C1 = C([0,4]), C2 = C([3,6]), C3 = C1 + C2 = C([3,4]), and C∩ = C1 ∩ C2 = C([0,6]) based on
- linear OA(413, 255, F4, 5) (dual of [255, 242, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(416, 255, F4, 4) (dual of [255, 239, 5]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {3,4,5,6}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(421, 255, F4, 7) (dual of [255, 234, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(48, 255, F4, 2) (dual of [255, 247, 3]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {3,4}, and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
- 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.