Information on Result #1642286
Linear OOA(3102, 3247, F3, 5, 19) (dual of [(3247, 5), 16133, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3102, 3247, F3, 2, 19) (dual of [(3247, 2), 6392, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3102, 3291, F3, 2, 19) (dual of [(3291, 2), 6480, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3102, 6582, F3, 19) (dual of [6582, 6480, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(381, 6562, F3, 15) (dual of [6562, 6481, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- construction X applied to C([0,9]) ⊂ C([0,7]) [i] based on
- OOA 2-folding [i] based on linear OA(3102, 6582, F3, 19) (dual of [6582, 6480, 20]-code), using
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(3102, 1623, F3, 25, 19) (dual of [(1623, 25), 40473, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |