Information on Result #706458
Linear OA(4114, 288, F4, 36) (dual of [288, 174, 37]-code), using construction XX applied to C1 = C([51,84]), C2 = C([60,86]), C3 = C1 + C2 = C([60,84]), 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(479, 255, F4, 27) (dual of [255, 176, 28]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {60,61,…,86}, and designed minimum distance d ≥ |I|+1 = 28 [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(474, 255, F4, 25) (dual of [255, 181, 26]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {60,61,…,84}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(412, 27, F4, 8) (dual of [27, 15, 9]-code), using
- 3 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- extended quadratic residue code Qe(30,4) [i]
- 3 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- 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.