Information on Result #906244
Linear OOA(499, 52, F4, 2, 77) (dual of [(52, 2), 5, 78]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(422, 13, F4, 2, 19) (dual of [(13, 2), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(422, 14, F4, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(422, 14, F4, 2, 19) (dual of [(14, 2), 6, 20]-NRT-code), using
- linear OOA(425, 13, F4, 2, 25) (dual of [(13, 2), 1, 26]-NRT-code), using
- dual of repetition NRT-code with length 13 [i]
- linear OOA(426, 13, F4, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code), using
- linear OOA(426, 13, F4, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code) (see above)
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(499, 52, F4, 2, 76) (dual of [(52, 2), 5, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(499, 52, F4, 2, 75) (dual of [(52, 2), 5, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(499, 52, F4, 2, 74) (dual of [(52, 2), 5, 75]-NRT-code) | [i] | ||
| 4 | Linear OOA(4117, 61, F4, 2, 90) (dual of [(61, 2), 5, 91]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 5 | Linear OOA(4127, 66, F4, 2, 98) (dual of [(66, 2), 5, 99]-NRT-code) | [i] | ||
| 6 | Linear OOA(4209, 107, F4, 2, 160) (dual of [(107, 2), 5, 161]-NRT-code) | [i] | ||
| 7 | Linear OOA(4237, 121, F4, 2, 181) (dual of [(121, 2), 5, 182]-NRT-code) | [i] | ||