Information on Result #686605
Linear OA(8132, 262174, F8, 24) (dual of [262174, 262042, 25]-code), using construction XX applied to Ce(24) ⊂ Ce(19) ⊂ Ce(18) 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(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(84, 29, F8, 3) (dual of [29, 25, 4]-code or 29-cap in PG(3,8)), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(8132, 262174, F8, 2, 24) (dual of [(262174, 2), 524216, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8132, 262174, F8, 3, 24) (dual of [(262174, 3), 786390, 25]-NRT-code) | [i] | ||
| 3 | Digital (108, 132, 262174)-net over F8 | [i] | ||
| 4 | Linear OOA(8132, 131087, F8, 2, 24) (dual of [(131087, 2), 262042, 25]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8132, 87391, F8, 3, 24) (dual of [(87391, 3), 262041, 25]-NRT-code) | [i] | ||