Information on Result #686526
Linear OA(8131, 262172, F8, 24) (dual of [262172, 262041, 25]-code), using construction X applied to Ce(24) ⊂ Ce(19) based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(84, 28, F8, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,8)), 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(8131, 262172, F8, 2, 24) (dual of [(262172, 2), 524213, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8131, 262172, F8, 3, 24) (dual of [(262172, 3), 786385, 25]-NRT-code) | [i] | ||
| 3 | Digital (107, 131, 262172)-net over F8 | [i] | ||
| 4 | Linear OOA(8131, 131086, F8, 2, 24) (dual of [(131086, 2), 262041, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8131, 87390, F8, 3, 24) (dual of [(87390, 3), 262039, 25]-NRT-code) | [i] | ||