Information on Result #706553
Linear OA(4109, 277, F4, 36) (dual of [277, 168, 37]-code), using construction XX applied to C1 = C([51,84]), C2 = C([57,86]), C3 = C1 + C2 = C([57,84]), and C∩ = C1 ∩ C2 = C([51,86]) based on
- linear OA(496, 255, F4, 34) (dual of [255, 159, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,84}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(487, 255, F4, 30) (dual of [255, 168, 31]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,86}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,86}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(482, 255, F4, 28) (dual of [255, 173, 29]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,84}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 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.