Information on Result #686604
Linear OA(8132, 262168, F8, 25) (dual of [262168, 262036, 26]-code), using construction XX applied to Ce(24) ⊂ Ce(20) ⊂ 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(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(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, 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(8132, 187505, F8, 2, 25) (dual of [(187505, 2), 374878, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8132, 187505, F8, 3, 25) (dual of [(187505, 3), 562383, 26]-NRT-code) | [i] | ||
| 3 | Digital (107, 132, 187505)-net over F8 | [i] | ||
| 4 | Linear OOA(8132, 131084, F8, 2, 25) (dual of [(131084, 2), 262036, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8132, 87389, F8, 3, 25) (dual of [(87389, 3), 262035, 26]-NRT-code) | [i] | ||