Information on Result #1026224
Linear OOA(3203, 71, F3, 3, 148) (dual of [(71, 3), 10, 149]-NRT-code), using juxtaposition based on
- linear OOA(335, 15, F3, 3, 28) (dual of [(15, 3), 10, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(335, 16, F3, 3, 28) (dual of [(16, 3), 13, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,19P) [i] based on function field F/F3 with g(F) = 7 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(335, 16, F3, 3, 28) (dual of [(16, 3), 13, 29]-NRT-code), using
- linear OOA(3158, 56, F3, 3, 119) (dual of [(56, 3), 10, 120]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,24P) [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(374, 28, F3, 3, 59) (dual of [(28, 3), 10, 60]-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(3203, 71, F3, 3, 147) (dual of [(71, 3), 10, 148]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(3203, 71, F3, 3, 146) (dual of [(71, 3), 10, 147]-NRT-code) | [i] | ||
3 | Linear OOA(3203, 71, F3, 3, 145) (dual of [(71, 3), 10, 146]-NRT-code) | [i] | ||
4 | Linear OOA(3203, 71, F3, 3, 144) (dual of [(71, 3), 10, 145]-NRT-code) | [i] |