Information on Result #906228
Linear OOA(4123, 64, F4, 2, 95) (dual of [(64, 2), 5, 96]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(428, 16, F4, 2, 23) (dual of [(16, 2), 4, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(428, 17, F4, 2, 23) (dual of [(17, 2), 6, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,10P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(428, 17, F4, 2, 23) (dual of [(17, 2), 6, 24]-NRT-code), using
- linear OOA(431, 16, F4, 2, 31) (dual of [(16, 2), 1, 32]-NRT-code), using
- dual of repetition NRT-code with length 16 [i]
- linear OOA(432, 16, F4, 2, 32) (dual of [(16, 2), 0, 33]-NRT-code), using
- linear OOA(432, 16, F4, 2, 32) (dual of [(16, 2), 0, 33]-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(4123, 64, F4, 2, 94) (dual of [(64, 2), 5, 95]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4123, 64, F4, 2, 93) (dual of [(64, 2), 5, 94]-NRT-code) | [i] | ||
| 3 | Linear OOA(4141, 73, F4, 2, 108) (dual of [(73, 2), 5, 109]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 4 | Linear OOA(4151, 78, F4, 2, 116) (dual of [(78, 2), 5, 117]-NRT-code) | [i] | ||