Information on Result #911093
Linear OOA(2206, 105, F2, 2, 139) (dual of [(105, 2), 4, 140]-NRT-code), using concatenation of two NRT-codes 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
- 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]
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(2206, 105, F2, 2, 138) (dual of [(105, 2), 4, 139]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2206, 105, F2, 2, 137) (dual of [(105, 2), 4, 138]-NRT-code) | [i] | ||
| 3 | Linear OOA(2206, 105, F2, 2, 136) (dual of [(105, 2), 4, 137]-NRT-code) | [i] | ||
| 4 | Linear OOA(2206, 105, F2, 2, 135) (dual of [(105, 2), 4, 136]-NRT-code) | [i] | ||
| 5 | Linear OOA(2206, 105, F2, 2, 134) (dual of [(105, 2), 4, 135]-NRT-code) | [i] | ||
| 6 | Linear OOA(2206, 105, F2, 2, 133) (dual of [(105, 2), 4, 134]-NRT-code) | [i] | ||
| 7 | Linear OOA(2206, 105, F2, 2, 132) (dual of [(105, 2), 4, 133]-NRT-code) | [i] | ||
| 8 | Linear OOA(2208, 106, F2, 2, 139) (dual of [(106, 2), 4, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 9 | Linear OOA(2205, 104, F2, 2, 138) (dual of [(104, 2), 3, 139]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2204, 104, F2, 2, 137) (dual of [(104, 2), 4, 138]-NRT-code) | [i] | ||
| 11 | Linear OOA(2202, 103, F2, 2, 135) (dual of [(103, 2), 4, 136]-NRT-code) | [i] | ||
| 12 | Linear OOA(2198, 101, F2, 2, 131) (dual of [(101, 2), 4, 132]-NRT-code) | [i] | ||
| 13 | Linear OOA(2214, 109, F2, 2, 143) (dual of [(109, 2), 4, 144]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 14 | Linear OOA(2216, 110, F2, 2, 145) (dual of [(110, 2), 4, 146]-NRT-code) | [i] | ||
| 15 | Linear OOA(2218, 111, F2, 2, 146) (dual of [(111, 2), 4, 147]-NRT-code) | [i] | ||
| 16 | Linear OOA(2220, 112, F2, 2, 147) (dual of [(112, 2), 4, 148]-NRT-code) | [i] | ||
| 17 | Linear OOA(2222, 113, F2, 2, 149) (dual of [(113, 2), 4, 150]-NRT-code) | [i] | ||