Information on Result #687999
Linear OA(825, 515, F8, 10) (dual of [515, 490, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- 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(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 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 OA(828, 535, F8, 10) (dual of [535, 507, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(829, 571, F8, 10) (dual of [571, 542, 11]-code) | [i] | ||
| 3 | Linear OA(830, 648, F8, 10) (dual of [648, 618, 11]-code) | [i] | ||
| 4 | Linear OA(831, 781, F8, 10) (dual of [781, 750, 11]-code) | [i] | ||
| 5 | Linear OA(832, 971, F8, 10) (dual of [971, 939, 11]-code) | [i] | ||
| 6 | Linear OOA(825, 257, F8, 2, 10) (dual of [(257, 2), 489, 11]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(825, 171, F8, 3, 10) (dual of [(171, 3), 488, 11]-NRT-code) | [i] | ||