Information on Result #686773
Linear OA(8117, 32779, F8, 27) (dual of [32779, 32662, 28]-code), using construction X applied to Ce(26) ⊂ Ce(24) based on
- 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(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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 OA(8118, 32780, F8, 27) (dual of [32780, 32662, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8117, 22520, F8, 2, 27) (dual of [(22520, 2), 44923, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(8117, 22520, F8, 3, 27) (dual of [(22520, 3), 67443, 28]-NRT-code) | [i] | ||
| 4 | Digital (90, 117, 22520)-net over F8 | [i] | ||
| 5 | Linear OOA(8117, 16389, F8, 2, 27) (dual of [(16389, 2), 32661, 28]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8117, 10926, F8, 3, 27) (dual of [(10926, 3), 32661, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(8117, 2521, F8, 27, 27) (dual of [(2521, 27), 67950, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |