Information on Result #686935
Linear OA(8145, 32822, F8, 30) (dual of [32822, 32677, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) 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(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(8145, 16411, F8, 2, 30) (dual of [(16411, 2), 32677, 31]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8145, 10940, F8, 3, 30) (dual of [(10940, 3), 32675, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(8145, 2188, F8, 30, 30) (dual of [(2188, 30), 65495, 31]-NRT-code) | [i] | OA Folding and Stacking | |