Information on Result #2615331
Linear OOA(2188, 72, F2, 3, 99) (dual of [(72, 3), 28, 100]-NRT-code), using strength reduction based on linear OOA(2188, 72, F2, 3, 101) (dual of [(72, 3), 28, 102]-NRT-code), using
- concatenation of two NRT-codes [i] 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
- 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, 24, F16, 16) (dual of [24, 7, 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(2191, 73, F2, 3, 99) (dual of [(73, 3), 28, 100]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2189, 72, F2, 3, 99) (dual of [(72, 3), 27, 100]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2190, 72, F2, 3, 99) (dual of [(72, 3), 26, 100]-NRT-code) | [i] | ||
| 4 | Linear OOA(2187, 71, F2, 3, 98) (dual of [(71, 3), 26, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2186, 71, F2, 3, 97) (dual of [(71, 3), 27, 98]-NRT-code) | [i] | ||
| 6 | Linear OOA(2185, 71, F2, 3, 96) (dual of [(71, 3), 28, 97]-NRT-code) | [i] | ||
| 7 | Linear OOA(2188, 36, F2, 6, 99) (dual of [(36, 6), 28, 100]-NRT-code) | [i] | OOA Folding | |