Information on Result #1093666
Linear OOA(2198, 51, F2, 4, 152) (dual of [(51, 4), 6, 153]-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(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
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(2198, 51, F2, 4, 151) (dual of [(51, 4), 6, 152]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2198, 51, F2, 4, 150) (dual of [(51, 4), 6, 151]-NRT-code) | [i] | ||
3 | Linear OOA(2193, 49, F2, 4, 147) (dual of [(49, 4), 3, 148]-NRT-code) | [i] | Truncation for OOAs | |
4 | Linear OOA(2192, 49, F2, 4, 146) (dual of [(49, 4), 4, 147]-NRT-code) | [i] | ||
5 | Linear OOA(2222, 57, F2, 4, 169) (dual of [(57, 4), 6, 170]-NRT-code) | [i] | Juxtaposition for OOAs | |
6 | Linear OOA(2226, 58, F2, 4, 172) (dual of [(58, 4), 6, 173]-NRT-code) | [i] |