Information on Result #1087726
Linear OOA(2174, 45, F2, 4, 135) (dual of [(45, 4), 6, 136]-NRT-code), using concatenation of two NRT-codes 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
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(2174, 45, F2, 4, 134) (dual of [(45, 4), 6, 135]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2174, 45, F2, 4, 133) (dual of [(45, 4), 6, 134]-NRT-code) | [i] | ||
| 3 | Linear OOA(2174, 45, F2, 4, 132) (dual of [(45, 4), 6, 133]-NRT-code) | [i] | ||
| 4 | Linear OOA(2174, 45, F2, 4, 131) (dual of [(45, 4), 6, 132]-NRT-code) | [i] | ||
| 5 | Linear OOA(2174, 45, F2, 4, 130) (dual of [(45, 4), 6, 131]-NRT-code) | [i] | ||
| 6 | Linear OOA(2178, 46, F2, 4, 135) (dual of [(46, 4), 6, 136]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2175, 45, F2, 4, 135) (dual of [(45, 4), 5, 136]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(2173, 44, F2, 4, 134) (dual of [(44, 4), 3, 135]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(2172, 44, F2, 4, 133) (dual of [(44, 4), 4, 134]-NRT-code) | [i] | ||
| 10 | Linear OOA(2171, 44, F2, 4, 132) (dual of [(44, 4), 5, 133]-NRT-code) | [i] | ||
| 11 | Linear OOA(2170, 44, F2, 4, 131) (dual of [(44, 4), 6, 132]-NRT-code) | [i] | ||
| 12 | Linear OOA(2166, 43, F2, 4, 127) (dual of [(43, 4), 6, 128]-NRT-code) | [i] | ||
| 13 | Linear OOA(2162, 42, F2, 4, 123) (dual of [(42, 4), 6, 124]-NRT-code) | [i] | ||
| 14 | Linear OOA(2158, 41, F2, 4, 119) (dual of [(41, 4), 6, 120]-NRT-code) | [i] | ||
| 15 | Linear OOA(2198, 51, F2, 4, 152) (dual of [(51, 4), 6, 153]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 16 | Linear OOA(2202, 52, F2, 4, 155) (dual of [(52, 4), 6, 156]-NRT-code) | [i] | ||
| 17 | Linear OOA(2206, 53, F2, 4, 158) (dual of [(53, 4), 6, 159]-NRT-code) | [i] | ||
| 18 | Linear OOA(2210, 54, F2, 4, 161) (dual of [(54, 4), 6, 162]-NRT-code) | [i] | ||
| 19 | Linear OOA(2214, 55, F2, 4, 164) (dual of [(55, 4), 6, 165]-NRT-code) | [i] | ||
| 20 | Linear OOA(2218, 56, F2, 4, 166) (dual of [(56, 4), 6, 167]-NRT-code) | [i] | ||