Information on Result #686981
Linear OA(8165, 32847, F8, 33) (dual of [32847, 32682, 34]-code), using construction X applied to Ce(32) ⊂ Ce(19) based on
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(824, 79, F8, 12) (dual of [79, 55, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(824, 130, F8, 12) (dual of [130, 106, 13]-code), using
- trace code [i] based on linear OA(6412, 65, F64, 12) (dual of [65, 53, 13]-code or 65-arc in PG(11,64)), using
- extended Reed–Solomon code RSe(53,64) [i]
- trace code [i] based on linear OA(6412, 65, F64, 12) (dual of [65, 53, 13]-code or 65-arc in PG(11,64)), using
- discarding factors / shortening the dual code based on linear OA(824, 130, F8, 12) (dual of [130, 106, 13]-code), 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(8166, 32848, F8, 33) (dual of [32848, 32682, 34]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8164, 32846, F8, 32) (dual of [32846, 32682, 33]-code) | [i] | Truncation | |
| 3 | Linear OOA(8165, 16423, F8, 2, 33) (dual of [(16423, 2), 32681, 34]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8165, 10949, F8, 3, 33) (dual of [(10949, 3), 32682, 34]-NRT-code) | [i] | ||