Information on Result #1523588
Linear OOA(3137, 10295, F3, 3, 21) (dual of [(10295, 3), 30748, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3137, 10295, F3, 21) (dual of [10295, 10158, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3137, 19695, F3, 21) (dual of [19695, 19558, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([1,10]) [i] based on
- linear OA(3127, 19684, F3, 21) (dual of [19684, 19557, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3126, 19684, F3, 10) (dual of [19684, 19558, 11]-code), using the narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [i]
- construction X applied to C([0,10]) ⊂ C([1,10]) [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(3137, 5147, F3, 5, 21) (dual of [(5147, 5), 25598, 22]-NRT-code) | [i] | OOA Folding | |