Information on Result #683950
Linear OA(557, 213, F5, 19) (dual of [213, 156, 20]-code), using construction X applied to Ce(18) ⊂ Ce(17) based on
- linear OA(557, 209, F5, 19) (dual of [209, 152, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 208 | 54−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(553, 209, F5, 18) (dual of [209, 156, 19]-code), using an extension Ce(17) of the narrow-sense BCH-code C(I) with length 208 | 54−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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 OOA(557, 106, F5, 2, 19) (dual of [(106, 2), 155, 20]-NRT-code) | [i] | OOA Folding | |