Information on Result #1029320
Linear OOA(2123, 57, F2, 3, 53) (dual of [(57, 3), 48, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(433, 19, F4, 3, 26) (dual of [(19, 3), 24, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(433, 21, F4, 3, 26) (dual of [(21, 3), 30, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,36P) [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- discarding factors / shortening the dual code based on linear OOA(433, 21, F4, 3, 26) (dual of [(21, 3), 30, 27]-NRT-code), using
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2123, 57, F2, 3, 52) (dual of [(57, 3), 48, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2123, 57, F2, 3, 51) (dual of [(57, 3), 48, 52]-NRT-code) | [i] | ||
| 3 | Linear OOA(2124, 57, F2, 3, 53) (dual of [(57, 3), 47, 54]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2122, 56, F2, 3, 52) (dual of [(56, 3), 46, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2123, 28, F2, 6, 53) (dual of [(28, 6), 45, 54]-NRT-code) | [i] | OOA Folding | |