Information on Result #705989
Linear OA(4259, 265, F4, 193) (dual of [265, 6, 194]-code), using construction X applied to C([69,16]) ⊂ C([85,16]) based on
- linear OA(4253, 255, F4, 203) (dual of [255, 2, 204]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,16}, and designed minimum distance d ≥ |I|+1 = 204 [i]
- linear OA(4249, 255, F4, 187) (dual of [255, 6, 188]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {85,86,…,16}, and designed minimum distance d ≥ |I|+1 = 188 [i]
- linear OA(46, 10, F4, 5) (dual of [10, 4, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4258, 264, F4, 192) (dual of [264, 6, 193]-code) | [i] | Truncation | |