Information on Result #686771
Linear OA(8127, 32779, F8, 29) (dual of [32779, 32652, 30]-code), using construction X applied to Ce(28) ⊂ Ce(26) based on
- linear OA(8126, 32768, F8, 29) (dual of [32768, 32642, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(81, 11, F8, 1) (dual of [11, 10, 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(8127, 25554, F8, 2, 29) (dual of [(25554, 2), 50981, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8127, 25554, F8, 3, 29) (dual of [(25554, 3), 76535, 30]-NRT-code) | [i] | ||
| 3 | Digital (98, 127, 25554)-net over F8 | [i] | ||
| 4 | Linear OOA(8127, 16389, F8, 2, 29) (dual of [(16389, 2), 32651, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8127, 10926, F8, 3, 29) (dual of [(10926, 3), 32651, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(8127, 2341, F8, 29, 29) (dual of [(2341, 29), 67762, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |