Information on Result #941656
Linear OOA(2220, 112, F2, 2, 146) (dual of [(112, 2), 4, 147]-NRT-code), using juxtaposition based on
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2210, 107, F2, 2, 140) (dual of [(107, 2), 4, 141]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code) (see above)
- linear OOA(2200, 102, F2, 2, 134) (dual of [(102, 2), 4, 135]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(432, 34, F4, 26) (dual of [34, 2, 27]-code), using
- 1 times truncation [i] based on linear OA(433, 35, F4, 27) (dual of [35, 2, 28]-code), using
- repeating each code word 7 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 7 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 1 times truncation [i] based on linear OA(433, 35, F4, 27) (dual of [35, 2, 28]-code), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- linear OA(432, 34, F4, 26) (dual of [34, 2, 27]-code), using
- concatenation of two NRT-codes [i] based on
- 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(2220, 112, F2, 2, 145) (dual of [(112, 2), 4, 146]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2220, 112, F2, 2, 144) (dual of [(112, 2), 4, 145]-NRT-code) | [i] | ||
| 3 | Linear OOA(2220, 112, F2, 2, 143) (dual of [(112, 2), 4, 144]-NRT-code) | [i] | ||
| 4 | Linear OOA(2220, 112, F2, 2, 142) (dual of [(112, 2), 4, 143]-NRT-code) | [i] | ||
| 5 | Linear OOA(2220, 112, F2, 2, 141) (dual of [(112, 2), 4, 142]-NRT-code) | [i] | ||
| 6 | Linear OOA(2220, 112, F2, 2, 140) (dual of [(112, 2), 4, 141]-NRT-code) | [i] | ||
| 7 | Linear OOA(2220, 56, F2, 4, 146) (dual of [(56, 4), 4, 147]-NRT-code) | [i] | OOA Folding | |