Information on Result #686602
Linear OA(8138, 262168, F8, 26) (dual of [262168, 262030, 27]-code), using construction XX applied to Ce(25) ⊂ Ce(21) ⊂ Ce(20) 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(8115, 262144, F8, 22) (dual of [262144, 262029, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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, 23, F8, 3) (dual of [23, 19, 4]-code or 23-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(8138, 200158, F8, 2, 26) (dual of [(200158, 2), 400178, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(8138, 200158, F8, 3, 26) (dual of [(200158, 3), 600336, 27]-NRT-code) | [i] | ||
3 | Digital (112, 138, 200158)-net over F8 | [i] | ||
4 | Linear OOA(8138, 131084, F8, 2, 26) (dual of [(131084, 2), 262030, 27]-NRT-code) | [i] | OOA Folding | |
5 | Linear OOA(8138, 87389, F8, 3, 26) (dual of [(87389, 3), 262029, 27]-NRT-code) | [i] |