Information on Result #688046
Linear OA(832, 519, F8, 12) (dual of [519, 487, 13]-code), using construction X applied to Ce(11) ⊂ Ce(9) based on
- linear OA(831, 512, F8, 12) (dual of [512, 481, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(825, 512, F8, 10) (dual of [512, 487, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(832, 403, F8, 2, 12) (dual of [(403, 2), 774, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(832, 403, F8, 3, 12) (dual of [(403, 3), 1177, 13]-NRT-code) | [i] | ||
| 3 | Digital (20, 32, 403)-net over F8 | [i] | ||
| 4 | Linear OOA(832, 173, F8, 3, 12) (dual of [(173, 3), 487, 13]-NRT-code) | [i] | OOA Folding | |