Information on Result #1161646
Linear OOA(2144, 21, F2, 7, 133) (dual of [(21, 7), 3, 134]-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(2123, 18, F2, 7, 114) (dual of [(18, 7), 3, 115]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(218, 3, F2, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code) (see above)
- linear OOA(2102, 15, F2, 7, 95) (dual of [(15, 7), 3, 96]-NRT-code), using
- repeating each code word 3 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 3 times [i] based on linear OOA(232, 5, F2, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
- 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(2143, 20, F2, 7, 132) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2142, 20, F2, 7, 131) | [i] | ||
| 3 | Linear OOA(2141, 20, F2, 7, 130) | [i] | ||
| 4 | Linear OOA(2136, 19, F2, 7, 125) | [i] | ||
| 5 | Linear OOA(2135, 19, F2, 7, 124) | [i] | ||
| 6 | Linear OOA(2134, 19, F2, 7, 123) | [i] | ||
| 7 | Linear OOA(2131, 19, F2, 7, 120) (dual of [(19, 7), 2, 121]-NRT-code) | [i] | ||
| 8 | Linear OOA(2130, 19, F2, 7, 119) (dual of [(19, 7), 3, 120]-NRT-code) | [i] | ||
| 9 | Linear OOA(2129, 18, F2, 7, 118) | [i] | ||
| 10 | Linear OOA(2128, 18, F2, 7, 117) | [i] | ||
| 11 | Linear OOA(2127, 18, F2, 7, 116) | [i] | ||
| 12 | Linear OOA(2122, 17, F2, 7, 111) | [i] | ||
| 13 | Linear OOA(2121, 17, F2, 7, 110) | [i] | ||
| 14 | Linear OOA(2120, 17, F2, 7, 109) | [i] | ||
| 15 | Linear OOA(2117, 17, F2, 7, 106) (dual of [(17, 7), 2, 107]-NRT-code) | [i] | ||