Information on Result #686464
Linear OA(8170, 262157, F8, 32) (dual of [262157, 261987, 33]-code), using construction X applied to Ce(32) ⊂ Ce(29) based on
- linear OA(8169, 262144, F8, 33) (dual of [262144, 261975, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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(8170, 210407, F8, 2, 32) (dual of [(210407, 2), 420644, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8170, 210407, F8, 3, 32) (dual of [(210407, 3), 631051, 33]-NRT-code) | [i] | ||
| 3 | Digital (138, 170, 210407)-net over F8 | [i] | ||
| 4 | Linear OOA(8170, 131078, F8, 2, 32) (dual of [(131078, 2), 261986, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8170, 87385, F8, 3, 32) (dual of [(87385, 3), 261985, 33]-NRT-code) | [i] | ||