Information on Result #1093667
Linear OOA(2214, 55, F2, 4, 161) (dual of [(55, 4), 6, 162]-NRT-code), using juxtaposition based on
- linear OOA(218, 6, F2, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,7P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2190, 49, F2, 4, 144) (dual of [(49, 4), 6, 145]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(218, 6, F2, 4, 16) (dual of [(6, 4), 6, 17]-NRT-code) (see above)
- linear OOA(2166, 43, F2, 4, 127) (dual of [(43, 4), 6, 128]-NRT-code), using
- 8 step truncation [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, using
- 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
- 8 step truncation [i] based on linear OOA(2174, 45, F2, 4, 135) (dual of [(45, 4), 6, 136]-NRT-code), using
- juxtaposition [i] based on
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(2214, 55, F2, 4, 160) (dual of [(55, 4), 6, 161]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2214, 55, F2, 4, 159) (dual of [(55, 4), 6, 160]-NRT-code) | [i] | ||
| 3 | Linear OOA(2238, 61, F2, 4, 178) (dual of [(61, 4), 6, 179]-NRT-code) | [i] | Juxtaposition for OOAs | |