Information on Result #941580
Linear OOA(2226, 116, F2, 2, 143) (dual of [(116, 2), 6, 144]-NRT-code), using juxtaposition based on
- linear OOA(284, 45, F2, 2, 55) (dual of [(45, 2), 6, 56]-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(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;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
- linear OOA(2136, 71, F2, 2, 87) (dual of [(71, 2), 6, 88]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(210, 8, F2, 2, 7) (dual of [(8, 2), 6, 8]-NRT-code), using
- linear OOA(2120, 63, F2, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(418, 21, F4, 15) (dual of [21, 3, 16]-code), using
- Simplex code S(3,4) [i]
- 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(418, 21, F4, 15) (dual of [21, 3, 16]-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(2226, 116, F2, 2, 142) (dual of [(116, 2), 6, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2226, 116, F2, 2, 141) (dual of [(116, 2), 6, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(2226, 116, F2, 2, 140) (dual of [(116, 2), 6, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(2220, 113, F2, 2, 137) (dual of [(113, 2), 6, 138]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2219, 112, F2, 2, 136) (dual of [(112, 2), 5, 137]-NRT-code) | [i] | ||
| 6 | Linear OOA(2218, 112, F2, 2, 135) (dual of [(112, 2), 6, 136]-NRT-code) | [i] | ||
| 7 | Linear OOA(2217, 111, F2, 2, 134) (dual of [(111, 2), 5, 135]-NRT-code) | [i] | ||
| 8 | Linear OOA(2215, 110, F2, 2, 132) (dual of [(110, 2), 5, 133]-NRT-code) | [i] | ||
| 9 | Linear OOA(2214, 110, F2, 2, 131) (dual of [(110, 2), 6, 132]-NRT-code) | [i] | ||
| 10 | Linear OOA(2212, 109, F2, 2, 129) (dual of [(109, 2), 6, 130]-NRT-code) | [i] | ||
| 11 | Linear OOA(2211, 108, F2, 2, 128) (dual of [(108, 2), 5, 129]-NRT-code) | [i] | ||
| 12 | Linear OOA(2209, 107, F2, 2, 126) (dual of [(107, 2), 5, 127]-NRT-code) | [i] | ||
| 13 | Linear OOA(2226, 58, F2, 4, 143) (dual of [(58, 4), 6, 144]-NRT-code) | [i] | OOA Folding | |