Information on Result #706197
Linear OA(466, 284, F4, 20) (dual of [284, 218, 21]-code), using construction XX applied to C1 = C([68,85]), C2 = C([73,87]), C3 = C1 + C2 = C([73,85]), and C∩ = C1 ∩ C2 = C([68,87]) based on
- linear OA(451, 255, F4, 18) (dual of [255, 204, 19]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,85}, and designed minimum distance d ≥ |I|+1 = 19 [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(437, 255, F4, 13) (dual of [255, 218, 14]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,85}, and designed minimum distance d ≥ |I|+1 = 14 [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(41, 9, F4, 1) (dual of [9, 8, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(467, 285, F4, 20) (dual of [285, 218, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(466, 142, F4, 2, 20) (dual of [(142, 2), 218, 21]-NRT-code) | [i] | OOA Folding | |