Information on Result #686486
Linear OA(868, 262157, F8, 13) (dual of [262157, 262089, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(867, 262144, F8, 13) (dual of [262144, 262077, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(855, 262144, F8, 11) (dual of [262144, 262089, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(868, 222097, F8, 2, 13) (dual of [(222097, 2), 444126, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(868, 222097, F8, 3, 13) (dual of [(222097, 3), 666223, 14]-NRT-code) | [i] | ||
| 3 | Digital (55, 68, 222097)-net over F8 | [i] | ||
| 4 | Linear OOA(868, 43692, F8, 13, 13) (dual of [(43692, 13), 567928, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |