Information on Result #706791
Linear OA(4141, 298, F4, 45) (dual of [298, 157, 46]-code), using construction XX applied to C1 = C([247,33]), C2 = C([0,36]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([247,36]) based on
- linear OA(4119, 255, F4, 42) (dual of [255, 136, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−8,−7,…,33}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−8,−7,…,36}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(43, 9, F4, 2) (dual of [9, 6, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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.