Information on Result #2955643
Linear OOA(2256, 37, F2, 7, 231) (dual of [(37, 7), 3, 232]-NRT-code), using strength reduction based on linear OOA(2256, 37, F2, 7, 235) (dual of [(37, 7), 3, 236]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(218, 3, F2, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(7;3,2) [i]
- linear OOA(2235, 34, F2, 7, 216) (dual of [(34, 7), 3, 217]-NRT-code), using
- 7 step truncation [i] based on linear OOA(2242, 35, F2, 7, 223) (dual of [(35, 7), 3, 224]-NRT-code), using
- repeating each code word 7 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(7;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 7 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- 7 step truncation [i] based on linear OOA(2242, 35, F2, 7, 223) (dual of [(35, 7), 3, 224]-NRT-code), using
- linear OOA(218, 3, F2, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), 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(2260, 37, F2, 7, 231) | [i] | OOA Duplication | |
| 2 | Linear OOA(2255, 36, F2, 7, 230) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2254, 36, F2, 7, 229) | [i] | ||
| 4 | Linear OOA(2253, 36, F2, 7, 228) | [i] | ||
| 5 | Linear OOA(2248, 35, F2, 7, 223) | [i] | ||
| 6 | Linear OOA(2247, 35, F2, 7, 222) | [i] | ||
| 7 | Linear OOA(2246, 35, F2, 7, 221) | [i] | ||
| 8 | Linear OOA(2243, 35, F2, 7, 218) (dual of [(35, 7), 2, 219]-NRT-code) | [i] | ||