Information on Result #686505
Linear OA(8118, 262165, F8, 22) (dual of [262165, 262047, 23]-code), using construction X applied to Ce(21) ⊂ Ce(18) 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(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(83, 21, F8, 2) (dual of [21, 18, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), 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(8118, 227647, F8, 2, 22) (dual of [(227647, 2), 455176, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8118, 227647, F8, 3, 22) (dual of [(227647, 3), 682823, 23]-NRT-code) | [i] | ||
| 3 | Digital (96, 118, 227647)-net over F8 | [i] | ||
| 4 | Linear OOA(8118, 131082, F8, 2, 22) (dual of [(131082, 2), 262046, 23]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8118, 87388, F8, 3, 22) (dual of [(87388, 3), 262046, 23]-NRT-code) | [i] | ||
| 6 | Linear OOA(8118, 23833, F8, 22, 22) (dual of [(23833, 22), 524208, 23]-NRT-code) | [i] | OA Folding and Stacking | |