Information on Result #1161651
Linear OOA(2193, 28, F2, 7, 178) (dual of [(28, 7), 3, 179]-NRT-code), using juxtaposition 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(2172, 25, F2, 7, 159) (dual of [(25, 7), 3, 160]-NRT-code), using
- repeating each code word 5 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 5 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-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(2193, 28, F2, 7, 177) (dual of [(28, 7), 3, 178]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2193, 28, F2, 7, 176) (dual of [(28, 7), 3, 177]-NRT-code) | [i] | ||
| 3 | Linear OOA(2193, 28, F2, 7, 175) (dual of [(28, 7), 3, 176]-NRT-code) | [i] | ||
| 4 | Linear OOA(2193, 28, F2, 7, 174) (dual of [(28, 7), 3, 175]-NRT-code) | [i] | ||
| 5 | Linear OOA(2193, 28, F2, 7, 173) (dual of [(28, 7), 3, 174]-NRT-code) | [i] | ||
| 6 | Linear OOA(2193, 28, F2, 7, 172) (dual of [(28, 7), 3, 173]-NRT-code) | [i] | ||
| 7 | Linear OOA(2193, 28, F2, 7, 171) (dual of [(28, 7), 3, 172]-NRT-code) | [i] | ||
| 8 | Linear OOA(2193, 28, F2, 7, 170) (dual of [(28, 7), 3, 171]-NRT-code) | [i] | ||
| 9 | Linear OOA(2193, 28, F2, 7, 169) (dual of [(28, 7), 3, 170]-NRT-code) | [i] | ||
| 10 | Linear OOA(2193, 28, F2, 7, 168) (dual of [(28, 7), 3, 169]-NRT-code) | [i] | ||
| 11 | Linear OOA(2192, 27, F2, 7, 177) | [i] | Truncation for OOAs | |
| 12 | Linear OOA(2191, 27, F2, 7, 176) | [i] | ||
| 13 | Linear OOA(2190, 27, F2, 7, 175) | [i] | ||
| 14 | Linear OOA(2185, 26, F2, 7, 170) | [i] | ||
| 15 | Linear OOA(2184, 26, F2, 7, 169) | [i] | ||
| 16 | Linear OOA(2183, 26, F2, 7, 168) | [i] | ||
| 17 | Linear OOA(2178, 25, F2, 7, 163) | [i] | ||
| 18 | Linear OOA(2177, 25, F2, 7, 162) | [i] | ||
| 19 | Linear OOA(2176, 25, F2, 7, 161) | [i] | ||
| 20 | Linear OOA(2173, 25, F2, 7, 158) (dual of [(25, 7), 2, 159]-NRT-code) | [i] | ||
| 21 | Linear OOA(2171, 24, F2, 7, 156) | [i] | ||
| 22 | Linear OOA(2170, 24, F2, 7, 155) | [i] | ||
| 23 | Linear OOA(2169, 24, F2, 7, 154) | [i] | ||
| 24 | Linear OOA(2164, 23, F2, 7, 149) | [i] | ||
| 25 | Linear OOA(2163, 23, F2, 7, 148) | [i] | ||
| 26 | Linear OOA(2162, 23, F2, 7, 147) | [i] | ||
| 27 | Linear OOA(2159, 23, F2, 7, 144) (dual of [(23, 7), 2, 145]-NRT-code) | [i] | ||
| 28 | Linear OOA(2157, 22, F2, 7, 142) | [i] | ||
| 29 | Linear OOA(2156, 22, F2, 7, 141) | [i] | ||
| 30 | Linear OOA(2155, 22, F2, 7, 140) | [i] | ||
| 31 | Linear OOA(2214, 31, F2, 7, 197) (dual of [(31, 7), 3, 198]-NRT-code) | [i] | Juxtaposition for OOAs | |