Information on Result #684377
Linear OA(541, 67, F5, 21) (dual of [67, 26, 22]-code), using construction X applied to Ce(20) ⊂ Ce(18) based on
- linear OA(540, 63, F5, 21) (dual of [63, 23, 22]-code), using an extension Ce(20) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(537, 63, F5, 19) (dual of [63, 26, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 62 | 53−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(541, 33, F5, 2, 21) (dual of [(33, 2), 25, 22]-NRT-code) | [i] | OOA Folding | |