Information on Result #683900
Linear OA(548, 318, F5, 16) (dual of [318, 270, 17]-code), using construction X applied to Ce(15) ⊂ Ce(13) based on
- 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(543, 313, F5, 14) (dual of [313, 270, 15]-code), using an extension Ce(13) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 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(548, 318, F5, 2, 16) (dual of [(318, 2), 588, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(548, 318, F5, 3, 16) (dual of [(318, 3), 906, 17]-NRT-code) | [i] | ||
| 3 | Digital (32, 48, 318)-net over F5 | [i] | ||
| 4 | Linear OOA(548, 159, F5, 2, 16) (dual of [(159, 2), 270, 17]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(548, 106, F5, 3, 16) (dual of [(106, 3), 270, 17]-NRT-code) | [i] | ||