Information on Result #680063
Linear OA(4228, 1389, F4, 51) (dual of [1389, 1161, 52]-code), using construction X applied to Ce(50) ⊂ Ce(46) based on
- linear OA(4223, 1366, F4, 51) (dual of [1366, 1143, 52]-code), using an extension Ce(50) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(4205, 1366, F4, 47) (dual of [1366, 1161, 48]-code), using an extension Ce(46) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), 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 OOA(4228, 694, F4, 2, 51) (dual of [(694, 2), 1160, 52]-NRT-code) | [i] | OOA Folding | |