Information on Result #707079
Linear OA(4151, 263, F4, 56) (dual of [263, 112, 57]-code), using construction XX applied to C1 = C([254,53]), C2 = C([0,54]), C3 = C1 + C2 = C([0,53]), and C∩ = C1 ∩ C2 = C([254,54]) based on
- linear OA(4147, 255, F4, 55) (dual of [255, 108, 56]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,53}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4147, 255, F4, 55) (dual of [255, 108, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(4151, 255, F4, 56) (dual of [255, 104, 57]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,54}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(4143, 255, F4, 54) (dual of [255, 112, 55]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,53], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code) (see above)
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.