Information on Result #1443614
Linear OOA(861, 3750, F8, 2, 17) (dual of [(3750, 2), 7439, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(861, 3750, F8, 17) (dual of [3750, 3689, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(861, 4109, F8, 17) (dual of [4109, 4048, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(857, 4097, F8, 17) (dual of [4097, 4040, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(849, 4097, F8, 13) (dual of [4097, 4048, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(84, 12, F8, 3) (dual of [12, 8, 4]-code or 12-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(861, 1875, F8, 3, 17) (dual of [(1875, 3), 5564, 18]-NRT-code) | [i] | OOA Folding | |