Information on Result #630284
Linear OA(2108, 198, F2, 31) (dual of [198, 90, 32]-code), using concatenation of two codes based on
- linear OA(3215, 33, F32, 15) (dual of [33, 18, 16]-code or 33-arc in PG(14,32)), using
- extended Reed–Solomon code RSe(18,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(21, 6, F2, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2108, 198, F2, 30) (dual of [198, 90, 31]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2109, 199, F2, 31) (dual of [199, 90, 32]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2110, 200, F2, 31) (dual of [200, 90, 32]-code) | [i] | ||
| 4 | Linear OA(2111, 201, F2, 31) (dual of [201, 90, 32]-code) | [i] | ||
| 5 | Linear OA(2112, 202, F2, 31) (dual of [202, 90, 32]-code) | [i] | ||
| 6 | Linear OA(2113, 203, F2, 31) (dual of [203, 90, 32]-code) | [i] | ||
| 7 | Linear OA(2114, 204, F2, 31) (dual of [204, 90, 32]-code) | [i] | ||
| 8 | Linear OA(2107, 197, F2, 30) (dual of [197, 90, 31]-code) | [i] | Truncation | |
| 9 | Linear OOA(2108, 99, F2, 2, 31) (dual of [(99, 2), 90, 32]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(2108, 66, F2, 3, 31) (dual of [(66, 3), 90, 32]-NRT-code) | [i] | ||