Information on Result #865378
Linear OOA(2734, 367, F27, 2, 17) (dual of [(367, 2), 700, 18]-NRT-code), using OOA 2-folding based on linear OA(2734, 734, F27, 17) (dual of [734, 700, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2734, 735, F27, 17) (dual of [735, 701, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- linear OA(2733, 730, F27, 17) (dual of [730, 697, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2729, 730, F27, 15) (dual of [730, 701, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, s, F27, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
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 | Digital (17, 34, 367)-net over F27 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |