Information on Result #1093694
Linear OOA(2214, 55, F2, 4, 164) (dual of [(55, 4), 6, 165]-NRT-code), using juxtaposition based on
- linear OOA(234, 10, F2, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,11P) [i] based on function field F/F2 with g(F) = 6 and N(F) ≥ 10, 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(2214, 55, F2, 4, 163) (dual of [(55, 4), 6, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2214, 55, F2, 4, 162) (dual of [(55, 4), 6, 163]-NRT-code) | [i] | ||
| 3 | Linear OOA(2212, 54, F2, 4, 162) (dual of [(54, 4), 4, 163]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2254, 65, F2, 4, 193) (dual of [(65, 4), 6, 194]-NRT-code) | [i] | Juxtaposition for OOAs | |