Information on Result #686503
Linear OA(8131, 262166, F8, 25) (dual of [262166, 262035, 26]-code), using construction X applied to Ce(24) ⊂ Ce(20) 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(8109, 262144, F8, 21) (dual of [262144, 262035, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(84, 22, F8, 3) (dual of [22, 18, 4]-code or 22-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 OA(8130, 262165, F8, 24) (dual of [262165, 262035, 25]-code) | [i] | Truncation | |
| 2 | Linear OOA(8131, 171295, F8, 2, 25) (dual of [(171295, 2), 342459, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8131, 171295, F8, 3, 25) (dual of [(171295, 3), 513754, 26]-NRT-code) | [i] | ||
| 4 | Digital (106, 131, 171295)-net over F8 | [i] | ||
| 5 | Linear OOA(8131, 131083, F8, 2, 25) (dual of [(131083, 2), 262035, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8131, 87388, F8, 3, 25) (dual of [(87388, 3), 262033, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(8131, 21847, F8, 25, 25) (dual of [(21847, 25), 546044, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |