Information on Result #642740
Linear OA(3273, 77, F32, 69) (dual of [77, 4, 70]-code), using juxtaposition based on
- linear OA(3229, 33, F32, 29) (dual of [33, 4, 30]-code or 33-arc in PG(28,32)), using
- extended Reed–Solomon code RSe(4,32) [i]
- the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(3240, 44, F32, 39) (dual of [44, 4, 40]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, 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 OA(3273, 77, F32, 68) (dual of [77, 4, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3263, 67, F32, 59) (dual of [67, 4, 60]-code) | [i] | Truncation | |
| 3 | Linear OA(32106, 110, F32, 99) (dual of [110, 4, 100]-code) | [i] | Juxtaposition | |