Information on Result #1029228
Linear OOA(268, 30, F2, 3, 35) (dual of [(30, 3), 22, 36]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(419, 10, F4, 3, 17) (dual of [(10, 3), 11, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F4 with g(F) = 2 and N(F) ≥ 10, 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(268, 30, F2, 3, 34) (dual of [(30, 3), 22, 35]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(268, 30, F2, 3, 33) (dual of [(30, 3), 22, 34]-NRT-code) | [i] | ||
| 3 | Linear OOA(268, 30, F2, 3, 32) (dual of [(30, 3), 22, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(271, 31, F2, 3, 35) (dual of [(31, 3), 22, 36]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(269, 30, F2, 3, 35) (dual of [(30, 3), 21, 36]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(267, 29, F2, 3, 34) (dual of [(29, 3), 20, 35]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(2148, 54, F2, 3, 70) (dual of [(54, 3), 14, 71]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(2148, 54, F2, 3, 71) (dual of [(54, 3), 14, 72]-NRT-code) | [i] | ||
| 9 | Linear OOA(268, 15, F2, 6, 35) (dual of [(15, 6), 22, 36]-NRT-code) | [i] | OOA Folding | |