Information on Result #844236
Linear OOA(8111, 131091, F8, 2, 20) (dual of [(131091, 2), 262071, 21]-NRT-code), using OOA 2-folding based on linear OA(8111, 262182, F8, 20) (dual of [262182, 262071, 21]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8110, 262181, F8, 20) (dual of [262181, 262071, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(19) ⊂ Ce(13) [i] based on
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(8113, 131092, F8, 2, 20) (dual of [(131092, 2), 262071, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8112, 131091, F8, 2, 20) (dual of [(131091, 2), 262070, 21]-NRT-code) | [i] | OOA Duplication | |