Information on Result #2955640
Linear OOA(2256, 37, F2, 7, 234) (dual of [(37, 7), 3, 235]-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, 234) | [i] | OOA Duplication | |
| 2 | Linear OOA(2255, 36, F2, 7, 233) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2254, 36, F2, 7, 232) | [i] | ||
| 4 | Linear OOA(2253, 36, F2, 7, 231) | [i] | ||
| 5 | Linear OOA(2248, 35, F2, 7, 226) | [i] | ||
| 6 | Linear OOA(2247, 35, F2, 7, 225) | [i] | ||
| 7 | Linear OOA(2246, 35, F2, 7, 224) | [i] | ||
| 8 | Linear OOA(2243, 35, F2, 7, 221) (dual of [(35, 7), 2, 222]-NRT-code) | [i] | ||
| 9 | Linear OOA(2241, 34, F2, 7, 219) | [i] | ||
| 10 | Linear OOA(2240, 34, F2, 7, 218) | [i] | ||
| 11 | Linear OOA(2239, 34, F2, 7, 217) | [i] | ||
| 12 | Linear OOA(2235, 34, F2, 7, 213) (dual of [(34, 7), 3, 214]-NRT-code) | [i] | ||
| 13 | Linear OOA(2234, 33, F2, 7, 212) | [i] | ||
| 14 | Linear OOA(2233, 33, F2, 7, 211) | [i] | ||
| 15 | Linear OOA(2232, 33, F2, 7, 210) | [i] | ||
| 16 | Linear OOA(2227, 32, F2, 7, 205) | [i] | ||
| 17 | Linear OOA(2226, 32, F2, 7, 204) | [i] | ||
| 18 | Linear OOA(2225, 32, F2, 7, 203) | [i] | ||
| 19 | Linear OOA(2220, 31, F2, 7, 198) | [i] | ||
| 20 | Linear OOA(2219, 31, F2, 7, 197) | [i] | ||
| 21 | Linear OOA(2218, 31, F2, 7, 196) | [i] | ||
| 22 | Linear OOA(2215, 31, F2, 7, 193) (dual of [(31, 7), 2, 194]-NRT-code) | [i] | ||