Information on Result #683919
Linear OA(556, 322, F5, 18) (dual of [322, 266, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(555, 313, F5, 18) (dual of [313, 258, 19]-code), using an extension Ce(17) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(547, 313, F5, 16) (dual of [313, 266, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(556, 161, F5, 2, 18) (dual of [(161, 2), 266, 19]-NRT-code) | [i] | OOA Folding | |