Information on Result #2277023
Linear OA(556, 15632, F5, 12) (dual of [15632, 15576, 13]-code), using 1 times code embedding in larger space based on linear OA(555, 15631, F5, 12) (dual of [15631, 15576, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(549, 15625, F5, 11) (dual of [15625, 15576, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(50, 6, F5, 0) (dual of [6, 6, 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(556, 7905, F5, 2, 12) (dual of [(7905, 2), 15754, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(556, 7905, F5, 3, 12) (dual of [(7905, 3), 23659, 13]-NRT-code) | [i] | ||
| 3 | Digital (44, 56, 7905)-net over F5 | [i] | ||
| 4 | Linear OOA(556, 7816, F5, 2, 12) (dual of [(7816, 2), 15576, 13]-NRT-code) | [i] | OOA Folding | |