Information on Result #1093699
Linear OOA(2195, 50, F2, 4, 150) (dual of [(50, 4), 5, 151]-NRT-code), using juxtaposition based on
- linear OOA(215, 5, F2, 4, 14) (dual of [(5, 4), 5, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2175, 45, F2, 4, 135) (dual of [(45, 4), 5, 136]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2174, 45, F2, 4, 135) (dual of [(45, 4), 6, 136]-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(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;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(2174, 45, F2, 4, 135) (dual of [(45, 4), 6, 136]-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(2193, 49, F2, 4, 148) (dual of [(49, 4), 3, 149]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2192, 49, F2, 4, 147) (dual of [(49, 4), 4, 148]-NRT-code) | [i] | ||
| 3 | Linear OOA(2215, 55, F2, 4, 165) (dual of [(55, 4), 5, 166]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 4 | Linear OOA(2219, 56, F2, 4, 168) (dual of [(56, 4), 5, 169]-NRT-code) | [i] | ||
| 5 | Linear OOA(2195, 25, F2, 8, 150) (dual of [(25, 8), 5, 151]-NRT-code) | [i] | OOA Folding | |