Information on Result #912025
Linear OOA(2188, 102, F2, 2, 97) (dual of [(102, 2), 16, 98]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using
- extended Reed–Solomon code RSe(4,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OOA(28, 6, F2, 2, 6) (dual of [(6, 2), 4, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2188, 102, F2, 2, 96) (dual of [(102, 2), 16, 97]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2188, 102, F2, 2, 95) (dual of [(102, 2), 16, 96]-NRT-code) | [i] | ||
| 3 | Linear OOA(2188, 102, F2, 2, 94) (dual of [(102, 2), 16, 95]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 101, F2, 2, 96) (dual of [(101, 2), 15, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2186, 101, F2, 2, 95) (dual of [(101, 2), 16, 96]-NRT-code) | [i] | ||
| 6 | Linear OOA(2182, 99, F2, 2, 91) (dual of [(99, 2), 16, 92]-NRT-code) | [i] | ||
| 7 | Linear OOA(2181, 98, F2, 2, 90) (dual of [(98, 2), 15, 91]-NRT-code) | [i] | ||
| 8 | Linear OOA(2188, 51, F2, 4, 97) (dual of [(51, 4), 16, 98]-NRT-code) | [i] | OOA Folding | |