Information on Result #1443950
Linear OOA(875, 26168, F8, 2, 17) (dual of [(26168, 2), 52261, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(875, 26168, F8, 17) (dual of [26168, 26093, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(875, 32783, F8, 17) (dual of [32783, 32708, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(871, 32769, F8, 17) (dual of [32769, 32698, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(861, 32769, F8, 13) (dual of [32769, 32708, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(84, 14, F8, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,8)), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [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(875, 13084, F8, 3, 17) (dual of [(13084, 3), 39177, 18]-NRT-code) | [i] | OOA Folding | |