Information on Result #2654752
Linear OOA(2244, 84, F2, 3, 172) (dual of [(84, 3), 8, 173]-NRT-code), using 3 step truncation based on linear OOA(2247, 85, F2, 3, 175) (dual of [(85, 3), 8, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- extended Reed–Solomon code RSe(2,16) [i]
- Simplex code S(2,16) [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(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), 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(2250, 86, F2, 3, 172) (dual of [(86, 3), 8, 173]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2244, 42, F2, 6, 172) (dual of [(42, 6), 8, 173]-NRT-code) | [i] | OOA Folding | |