Information on Result #2281414
Linear OA(8141, 262182, F8, 26) (dual of [262182, 262041, 27]-code), using 1 times code embedding in larger space based on linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(19) [i] based on
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(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
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(8141, 259577, F8, 2, 26) (dual of [(259577, 2), 519013, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8141, 259577, F8, 3, 26) (dual of [(259577, 3), 778590, 27]-NRT-code) | [i] | ||
| 3 | Digital (115, 141, 259577)-net over F8 | [i] | ||
| 4 | Linear OOA(8141, 131091, F8, 2, 26) (dual of [(131091, 2), 262041, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8141, 87394, F8, 3, 26) (dual of [(87394, 3), 262041, 27]-NRT-code) | [i] | ||