Information on Result #686988
Linear OA(8155, 32852, F8, 30) (dual of [32852, 32697, 31]-code), using construction X applied to Ce(29) ⊂ Ce(16) based on
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(871, 32768, F8, 17) (dual of [32768, 32697, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(824, 84, F8, 12) (dual of [84, 60, 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(8156, 32853, F8, 30) (dual of [32853, 32697, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8155, 16426, F8, 2, 30) (dual of [(16426, 2), 32697, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8155, 10950, F8, 3, 30) (dual of [(10950, 3), 32695, 31]-NRT-code) | [i] | ||