Information on Result #906250
Linear OOA(491, 48, F4, 2, 71) (dual of [(48, 2), 5, 72]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(420, 12, F4, 2, 17) (dual of [(12, 2), 4, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(420, 14, F4, 2, 17) (dual of [(14, 2), 8, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,10P) [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(420, 14, F4, 2, 17) (dual of [(14, 2), 8, 18]-NRT-code), using
- linear OOA(423, 12, F4, 2, 23) (dual of [(12, 2), 1, 24]-NRT-code), using
- dual of repetition NRT-code with length 12 [i]
- linear OOA(424, 12, F4, 2, 24) (dual of [(12, 2), 0, 25]-NRT-code), using
- linear OOA(424, 12, F4, 2, 24) (dual of [(12, 2), 0, 25]-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(491, 48, F4, 2, 70) (dual of [(48, 2), 5, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(491, 48, F4, 2, 69) (dual of [(48, 2), 5, 70]-NRT-code) | [i] | ||
| 3 | Linear OOA(489, 47, F4, 2, 69) (dual of [(47, 2), 5, 70]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4109, 57, F4, 2, 84) (dual of [(57, 2), 5, 85]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 5 | Linear OOA(4119, 62, F4, 2, 92) (dual of [(62, 2), 5, 93]-NRT-code) | [i] | ||
| 6 | Linear OOA(4201, 103, F4, 2, 154) (dual of [(103, 2), 5, 155]-NRT-code) | [i] | ||
| 7 | Linear OOA(4229, 117, F4, 2, 175) (dual of [(117, 2), 5, 176]-NRT-code) | [i] | ||