Information on Result #738122
Linear OA(3135, 142, F3, 87) (dual of [142, 7, 88]-code), using juxtaposition based on
- linear OA(323, 30, F3, 15) (dual of [30, 7, 16]-code), using
- construction X applied to C([1,33]) ⊂ C([1,27]) [i] based on
- linear OA(322, 26, F3, 16) (dual of [26, 4, 17]-code), using contraction [i] based on linear OA(348, 52, F3, 33) (dual of [52, 4, 34]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(319, 26, F3, 13) (dual of [26, 7, 14]-code), using contraction [i] based on linear OA(345, 52, F3, 27) (dual of [52, 7, 28]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([1,33]) ⊂ C([1,27]) [i] based on
- linear OA(3105, 112, F3, 71) (dual of [112, 7, 72]-code), using
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3135, 142, F3, 86) (dual of [142, 7, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(3135, 71, F3, 2, 87) (dual of [(71, 2), 7, 88]-NRT-code) | [i] | OOA Folding | |