Information on Result #1029684
Linear OOA(2111, 56, F2, 3, 45) (dual of [(56, 3), 57, 46]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(823, 14, F8, 3, 22) (dual of [(14, 3), 19, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2111, 56, F2, 3, 44) (dual of [(56, 3), 57, 45]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2114, 57, F2, 3, 45) (dual of [(57, 3), 57, 46]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2112, 56, F2, 3, 45) (dual of [(56, 3), 56, 46]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2113, 56, F2, 3, 45) (dual of [(56, 3), 55, 46]-NRT-code) | [i] | ||
| 5 | Linear OOA(2110, 55, F2, 3, 44) (dual of [(55, 3), 55, 45]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2111, 28, F2, 6, 45) (dual of [(28, 6), 57, 46]-NRT-code) | [i] | OOA Folding | |