Information on Result #1554072
Linear OOA(857, 27757, F8, 3, 13) (dual of [(27757, 3), 83214, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(857, 27757, F8, 13) (dual of [27757, 27700, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(857, 32779, F8, 13) (dual of [32779, 32722, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(846, 32768, F8, 11) (dual of [32768, 32722, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
Mode: 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(857, 13878, F8, 15, 13) (dual of [(13878, 15), 208113, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |