Information on Result #706195
Linear OA(468, 287, F4, 20) (dual of [287, 219, 21]-code), using construction XX applied to C1 = C([68,84]), C2 = C([73,87]), C3 = C1 + C2 = C([73,84]), and C∩ = C1 ∩ C2 = C([68,87]) based on
- linear OA(450, 255, F4, 17) (dual of [255, 205, 18]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,84}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(445, 255, F4, 15) (dual of [255, 210, 16]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,87}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(459, 255, F4, 20) (dual of [255, 196, 21]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,87}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(436, 255, F4, 12) (dual of [255, 219, 13]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,84}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(46, 20, F4, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 21, F4, 4) (dual of [21, 15, 5]-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.