Information on Result #686763
Linear OA(8157, 32779, F8, 36) (dual of [32779, 32622, 37]-code), using construction X applied to Ce(35) ⊂ Ce(33) based on
- linear OA(8156, 32768, F8, 36) (dual of [32768, 32612, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(8157, 26892, F8, 2, 36) (dual of [(26892, 2), 53627, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8157, 26892, F8, 3, 36) (dual of [(26892, 3), 80519, 37]-NRT-code) | [i] | ||
| 3 | Digital (121, 157, 26892)-net over F8 | [i] | ||
| 4 | Linear OOA(8157, 16389, F8, 2, 36) (dual of [(16389, 2), 32621, 37]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8157, 10926, F8, 3, 36) (dual of [(10926, 3), 32621, 37]-NRT-code) | [i] | ||
| 6 | Linear OOA(8157, 1821, F8, 36, 36) (dual of [(1821, 36), 65399, 37]-NRT-code) | [i] | OA Folding and Stacking | |