Information on Result #683899
Linear OA(551, 317, F5, 17) (dual of [317, 266, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(551, 313, F5, 17) (dual of [313, 262, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 312 | 54−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(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(551, 317, F5, 2, 17) (dual of [(317, 2), 583, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(551, 317, F5, 3, 17) (dual of [(317, 3), 900, 18]-NRT-code) | [i] | ||
| 3 | Digital (34, 51, 317)-net over F5 | [i] | ||
| 4 | Linear OA(552, 333, F5, 17) (dual of [333, 281, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OOA(551, 158, F5, 2, 17) (dual of [(158, 2), 265, 18]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(551, 105, F5, 3, 17) (dual of [(105, 3), 264, 18]-NRT-code) | [i] | ||