Information on Result #2655831
Linear OOA(2233, 83, F2, 3, 147) (dual of [(83, 3), 16, 148]-NRT-code), using 6 step truncation based on linear OOA(2239, 85, F2, 3, 153) (dual of [(85, 3), 16, 154]-NRT-code), using
- concatenation of two NRT-codes [i] 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(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), 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(2242, 86, F2, 3, 147) (dual of [(86, 3), 16, 148]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2245, 87, F2, 3, 147) (dual of [(87, 3), 16, 148]-NRT-code) | [i] | ||
| 3 | Linear OOA(2233, 41, F2, 6, 147) (dual of [(41, 6), 13, 148]-NRT-code) | [i] | OOA Folding | |