Information on Result #680044
Linear OA(4220, 1381, F4, 50) (dual of [1381, 1161, 51]-code), using construction X applied to Ce(49) ⊂ Ce(46) based on
- linear OA(4217, 1366, F4, 50) (dual of [1366, 1149, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [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(43, 15, F4, 2) (dual of [15, 12, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4220, 690, F4, 2, 50) (dual of [(690, 2), 1160, 51]-NRT-code) | [i] | OOA Folding | |