Information on Result #906246
Linear OOA(4104, 56, F4, 2, 75) (dual of [(56, 2), 8, 76]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(421, 14, F4, 2, 18) (dual of [(14, 2), 7, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,9P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(427, 14, F4, 2, 25) (dual of [(14, 2), 1, 26]-NRT-code), using
- strength reduction [i] based on linear OOA(427, 14, F4, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
- strength reduction [i] based on linear OOA(427, 14, F4, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- linear OOA(428, 14, F4, 2, 28) (dual of [(14, 2), 0, 29]-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(4104, 56, F4, 2, 74) (dual of [(56, 2), 8, 75]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4132, 70, F4, 2, 93) (dual of [(70, 2), 8, 94]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(4134, 71, F4, 2, 94) (dual of [(71, 2), 8, 95]-NRT-code) | [i] | ||
| 4 | Linear OOA(4138, 73, F4, 2, 97) (dual of [(73, 2), 8, 98]-NRT-code) | [i] | ||
| 5 | Linear OOA(4144, 76, F4, 2, 101) (dual of [(76, 2), 8, 102]-NRT-code) | [i] | ||
| 6 | Linear OOA(4146, 77, F4, 2, 103) (dual of [(77, 2), 8, 104]-NRT-code) | [i] | ||
| 7 | Linear OOA(4168, 88, F4, 2, 118) (dual of [(88, 2), 8, 119]-NRT-code) | [i] | ||