Information on Result #1161645
Linear OOA(2123, 18, F2, 7, 114) (dual of [(18, 7), 3, 115]-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(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
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(2122, 17, F2, 7, 113) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(2121, 17, F2, 7, 112) | [i] | ||
| 3 | Linear OOA(2120, 17, F2, 7, 111) | [i] | ||
| 4 | Linear OOA(2117, 17, F2, 7, 108) (dual of [(17, 7), 2, 109]-NRT-code) | [i] | ||
| 5 | Linear OOA(2115, 16, F2, 7, 106) | [i] | ||
| 6 | Linear OOA(2114, 16, F2, 7, 105) | [i] | ||
| 7 | Linear OOA(2113, 16, F2, 7, 104) | [i] | ||
| 8 | Linear OOA(2108, 15, F2, 7, 99) | [i] | ||
| 9 | Linear OOA(2107, 15, F2, 7, 98) | [i] | ||
| 10 | Linear OOA(2106, 15, F2, 7, 97) | [i] | ||
| 11 | Linear OOA(2144, 21, F2, 7, 133) (dual of [(21, 7), 3, 134]-NRT-code) | [i] | Juxtaposition for OOAs | |