Information on Result #686477
Linear OA(8116, 262157, F8, 22) (dual of [262157, 262041, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- 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(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(81, 13, F8, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(8116, 184905, F8, 2, 22) (dual of [(184905, 2), 369694, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8116, 184905, F8, 3, 22) (dual of [(184905, 3), 554599, 23]-NRT-code) | [i] | ||
| 3 | Digital (94, 116, 184905)-net over F8 | [i] | ||
| 4 | Linear OOA(8116, 131078, F8, 2, 22) (dual of [(131078, 2), 262040, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8116, 87385, F8, 3, 22) (dual of [(87385, 3), 262039, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(8116, 23832, F8, 22, 22) (dual of [(23832, 22), 524188, 23]-NRT-code) | [i] | OA Folding and Stacking | |