Information on Result #686931
Linear OA(8170, 32822, F8, 36) (dual of [32822, 32652, 37]-code), using construction X applied to Ce(35) ⊂ Ce(26) based on
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(814, 54, F8, 8) (dual of [54, 40, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-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 OOA(8170, 16411, F8, 2, 36) (dual of [(16411, 2), 32652, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8170, 10940, F8, 3, 36) (dual of [(10940, 3), 32650, 37]-NRT-code) | [i] | ||