Information on Result #706594
Linear OA(4123, 293, F4, 39) (dual of [293, 170, 40]-code), using construction XX applied to C1 = C([49,84]), C2 = C([57,87]), C3 = C1 + C2 = C([57,84]), 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(491, 255, F4, 31) (dual of [255, 164, 32]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,87}, and designed minimum distance d ≥ |I|+1 = 32 [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(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(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
- 4 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]
- 4 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.