Information on Result #686458
Linear OA(837, 262150, F8, 7) (dual of [262150, 262113, 8]-code), using construction X applied to Ce(6) ⊂ Ce(5) based on
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(831, 262144, F8, 6) (dual of [262144, 262113, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(837, 262150, F8, 2, 7) (dual of [(262150, 2), 524263, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(837, 262150, F8, 3, 7) (dual of [(262150, 3), 786413, 8]-NRT-code) | [i] | ||
| 3 | Digital (30, 37, 262150)-net over F8 | [i] | ||
| 4 | Linear OOA(837, 131075, F8, 2, 7) (dual of [(131075, 2), 262113, 8]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(837, 87383, F8, 3, 7) (dual of [(87383, 3), 262112, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(837, 87383, F8, 7, 7) (dual of [(87383, 7), 611644, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |