Information on Result #686936
Linear OA(8140, 32822, F8, 29) (dual of [32822, 32682, 30]-code), using construction X applied to Ce(28) ⊂ Ce(19) based on
- linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(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(8140, 16411, F8, 2, 29) (dual of [(16411, 2), 32682, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8140, 10940, F8, 3, 29) (dual of [(10940, 3), 32680, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(8140, 2344, F8, 29, 29) (dual of [(2344, 29), 67836, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |