Information on Result #1026481
Linear OOA(3181, 62, F3, 3, 142) (dual of [(62, 3), 5, 143]-NRT-code), using juxtaposition based on
- linear OOA(313, 6, F3, 3, 12) (dual of [(6, 3), 5, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 3, 12) (dual of [(7, 3), 8, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,8P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(313, 7, F3, 3, 12) (dual of [(7, 3), 8, 13]-NRT-code), using
- linear OOA(3163, 56, F3, 3, 129) (dual of [(56, 3), 5, 130]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(379, 28, F3, 3, 64) (dual of [(28, 3), 5, 65]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F3 with g(F) = 15 and N(F) ≥ 28, using
- repeating each code word 2 times [i] based on linear OOA(379, 28, F3, 3, 64) (dual of [(28, 3), 5, 65]-NRT-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(3181, 62, F3, 3, 141) (dual of [(62, 3), 5, 142]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3181, 62, F3, 3, 140) (dual of [(62, 3), 5, 141]-NRT-code) | [i] | ||
| 3 | Linear OOA(3181, 62, F3, 3, 139) (dual of [(62, 3), 5, 140]-NRT-code) | [i] | ||
| 4 | Linear OOA(3181, 62, F3, 3, 138) (dual of [(62, 3), 5, 139]-NRT-code) | [i] | ||