Information on Result #687975
Linear OA(886, 516, F8, 33) (dual of [516, 430, 34]-code), using construction X applied to Ce(32) ⊂ Ce(30) based on
- linear OA(885, 512, F8, 33) (dual of [512, 427, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(882, 512, F8, 31) (dual of [512, 430, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 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(886, 514, F8, 2, 33) (dual of [(514, 2), 942, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(886, 514, F8, 3, 33) (dual of [(514, 3), 1456, 34]-NRT-code) | [i] | ||
| 3 | Digital (53, 86, 514)-net over F8 | [i] | ||
| 4 | Linear OOA(886, 258, F8, 2, 33) (dual of [(258, 2), 430, 34]-NRT-code) | [i] | OOA Folding | |