Information on Result #706520
Linear OA(4125, 295, F4, 39) (dual of [295, 170, 40]-code), using construction XX applied to C1 = C([49,84]), C2 = C([59,87]), C3 = C1 + C2 = C([59,84]), and C∩ = C1 ∩ C2 = C([49,87]) based on
- linear OA(4100, 255, F4, 36) (dual of [255, 155, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,84}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(487, 255, F4, 29) (dual of [255, 168, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {59,60,…,87}, and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,87}, and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(478, 255, F4, 26) (dual of [255, 177, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {59,60,…,84}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(413, 28, F4, 9) (dual of [28, 15, 10]-code), using
- 2 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]
- 2 times truncation [i] based on linear OA(415, 30, F4, 11) (dual of [30, 15, 12]-code), using
- linear OA(43, 12, F4, 2) (dual of [12, 9, 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.