Information on Result #1049413
Linear OOA(2254, 87, F2, 3, 176) (dual of [(87, 3), 7, 177]-NRT-code), using juxtaposition based on
- linear OOA(214, 7, F2, 3, 11) (dual of [(7, 3), 7, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,9P) [i] based on function field F/F2 with g(F) = 3 and N(F) ≥ 7, using
- linear OOA(2233, 80, F2, 3, 164) (dual of [(80, 3), 7, 165]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2232, 80, F2, 3, 164) (dual of [(80, 3), 8, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- Reed–Solomon code RS(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(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- concatenation of two NRT-codes [i] based on
- 21 times duplication [i] based on linear OOA(2232, 80, F2, 3, 164) (dual of [(80, 3), 8, 165]-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(2254, 87, F2, 3, 175) (dual of [(87, 3), 7, 176]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 87, F2, 3, 174) (dual of [(87, 3), 7, 175]-NRT-code) | [i] | ||
| 3 | Linear OOA(2254, 87, F2, 3, 173) (dual of [(87, 3), 7, 174]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 87, F2, 3, 172) (dual of [(87, 3), 7, 173]-NRT-code) | [i] | ||
| 5 | Linear OOA(2252, 86, F2, 3, 174) (dual of [(86, 3), 6, 175]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2251, 86, F2, 3, 173) (dual of [(86, 3), 7, 174]-NRT-code) | [i] | ||
| 7 | Linear OOA(2248, 85, F2, 3, 170) (dual of [(85, 3), 7, 171]-NRT-code) | [i] | ||