Information on Result #688000
Linear OA(823, 516, F8, 9) (dual of [516, 493, 10]-code), using construction X applied to Ce(8) ⊂ Ce(6) based on
- 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(819, 512, F8, 7) (dual of [512, 493, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(823, 329, F8, 2, 9) (dual of [(329, 2), 635, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(823, 329, F8, 3, 9) (dual of [(329, 3), 964, 10]-NRT-code) | [i] | ||
| 3 | Digital (14, 23, 329)-net over F8 | [i] | ||
| 4 | Linear OOA(823, 258, F8, 2, 9) (dual of [(258, 2), 493, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(823, 172, F8, 3, 9) (dual of [(172, 3), 493, 10]-NRT-code) | [i] | ||