Information on Result #1049463
Linear OOA(2145, 50, F2, 3, 105) (dual of [(50, 3), 5, 106]-NRT-code), using juxtaposition based on
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2130, 45, F2, 3, 95) (dual of [(45, 3), 5, 96]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2129, 45, F2, 3, 95) (dual of [(45, 3), 6, 96]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- extended Reed–Solomon code RSe(2,8) [i]
- Simplex code S(2,8) [i]
- linear OOA(212, 5, F2, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5 (see above)
- linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- concatenation of two NRT-codes [i] based on
- 21 times duplication [i] based on linear OOA(2129, 45, F2, 3, 95) (dual of [(45, 3), 6, 96]-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(2145, 50, F2, 3, 104) (dual of [(50, 3), 5, 105]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2145, 50, F2, 3, 103) (dual of [(50, 3), 5, 104]-NRT-code) | [i] | ||
| 3 | Linear OOA(2145, 50, F2, 3, 102) (dual of [(50, 3), 5, 103]-NRT-code) | [i] | ||
| 4 | Linear OOA(2145, 50, F2, 3, 101) (dual of [(50, 3), 5, 102]-NRT-code) | [i] | ||
| 5 | Linear OOA(2145, 50, F2, 3, 100) (dual of [(50, 3), 5, 101]-NRT-code) | [i] | ||
| 6 | Linear OOA(2144, 49, F2, 3, 104) (dual of [(49, 3), 3, 105]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2143, 49, F2, 3, 103) (dual of [(49, 3), 4, 104]-NRT-code) | [i] | ||
| 8 | Linear OOA(2160, 55, F2, 3, 115) (dual of [(55, 3), 5, 116]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 9 | Linear OOA(2163, 56, F2, 3, 117) (dual of [(56, 3), 5, 118]-NRT-code) | [i] | ||
| 10 | Linear OOA(2145, 25, F2, 6, 105) (dual of [(25, 6), 5, 106]-NRT-code) | [i] | OOA Folding | |