Information on Result #1602596
Linear OOA(398, 10278, F3, 4, 15) (dual of [(10278, 4), 41014, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(398, 10278, F3, 15) (dual of [10278, 10180, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(398, 19692, F3, 15) (dual of [19692, 19594, 16]-code), using
- construction X applied to C([0,7]) ⊂ C([1,7]) [i] based on
- linear OA(391, 19684, F3, 15) (dual of [19684, 19593, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(390, 19684, F3, 7) (dual of [19684, 19594, 8]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(37, 8, F3, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,3)), using
- dual of repetition code with length 8 [i]
- construction X applied to C([0,7]) ⊂ C([1,7]) [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(398, 5138, F3, 20, 15) (dual of [(5138, 20), 102662, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |