Information on Result #1087849
Linear OOA(2256, 68, F2, 4, 167) (dual of [(68, 4), 16, 168]-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(212, 4, F2, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2256, 68, F2, 4, 166) (dual of [(68, 4), 16, 167]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2256, 68, F2, 4, 165) (dual of [(68, 4), 16, 166]-NRT-code) | [i] | ||
| 3 | Linear OOA(2256, 68, F2, 4, 164) (dual of [(68, 4), 16, 165]-NRT-code) | [i] | ||
| 4 | Linear OOA(2256, 68, F2, 4, 163) (dual of [(68, 4), 16, 164]-NRT-code) | [i] | ||
| 5 | Linear OOA(2256, 68, F2, 4, 162) (dual of [(68, 4), 16, 163]-NRT-code) | [i] | ||
| 6 | Linear OOA(2255, 67, F2, 4, 166) (dual of [(67, 4), 13, 167]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2254, 67, F2, 4, 165) (dual of [(67, 4), 14, 166]-NRT-code) | [i] | ||
| 8 | Linear OOA(2253, 67, F2, 4, 164) (dual of [(67, 4), 15, 165]-NRT-code) | [i] | ||
| 9 | Linear OOA(2252, 67, F2, 4, 163) (dual of [(67, 4), 16, 164]-NRT-code) | [i] | ||
| 10 | Linear OOA(2251, 66, F2, 4, 162) (dual of [(66, 4), 13, 163]-NRT-code) | [i] | ||
| 11 | Linear OOA(2250, 66, F2, 4, 161) (dual of [(66, 4), 14, 162]-NRT-code) | [i] | ||
| 12 | Linear OOA(2249, 66, F2, 4, 160) (dual of [(66, 4), 15, 161]-NRT-code) | [i] | ||
| 13 | Linear OOA(2247, 65, F2, 4, 158) (dual of [(65, 4), 13, 159]-NRT-code) | [i] | ||
| 14 | Linear OOA(2246, 65, F2, 4, 157) (dual of [(65, 4), 14, 158]-NRT-code) | [i] | ||
| 15 | Linear OOA(2256, 34, F2, 8, 167) (dual of [(34, 8), 16, 168]-NRT-code) | [i] | OOA Folding | |