Information on Result #2614719
Linear OOA(2178, 66, F2, 3, 100) (dual of [(66, 3), 20, 101]-NRT-code), using strength reduction based on linear OOA(2178, 66, F2, 3, 101) (dual of [(66, 3), 20, 102]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1617, 22, F16, 16) (dual of [22, 5, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(1617, 24, F16, 16) (dual of [24, 7, 17]-code), using
- linear OOA(25, 3, F2, 3, 5) (dual of [(3, 3), 4, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;4,2) [i]
- linear OA(1617, 22, F16, 16) (dual of [22, 5, 17]-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(2179, 66, F2, 3, 100) (dual of [(66, 3), 19, 101]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2177, 65, F2, 3, 99) (dual of [(65, 3), 18, 100]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2176, 65, F2, 3, 98) (dual of [(65, 3), 19, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(2174, 64, F2, 3, 96) (dual of [(64, 3), 18, 97]-NRT-code) | [i] | ||
| 5 | Linear OOA(2173, 64, F2, 3, 95) (dual of [(64, 3), 19, 96]-NRT-code) | [i] | ||
| 6 | Linear OOA(2172, 64, F2, 3, 94) (dual of [(64, 3), 20, 95]-NRT-code) | [i] | ||
| 7 | Linear OOA(2171, 63, F2, 3, 93) (dual of [(63, 3), 18, 94]-NRT-code) | [i] | ||
| 8 | Linear OOA(2170, 63, F2, 3, 92) (dual of [(63, 3), 19, 93]-NRT-code) | [i] | ||
| 9 | Linear OOA(2178, 33, F2, 6, 100) (dual of [(33, 6), 20, 101]-NRT-code) | [i] | OOA Folding | |