Information on Result #610423
Linear OA(3101, 104, F3, 71) (dual of [104, 3, 72]-code), using repeating each code word 8 times based on linear OA(310, 13, F3, 8) (dual of [13, 3, 9]-code), using
- Simplex code S(3,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 13 | 33−1, defining interval I = [0,6], and minimum distance d ≥ |{−1,0,…,6}|+1 = 9 (BCH-bound) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3101, 104, F3, 70) (dual of [104, 3, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3102, 105, F3, 71) (dual of [105, 3, 72]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3100, 103, F3, 70) (dual of [103, 3, 71]-code) | [i] | Truncation | |
| 4 | Linear OA(399, 102, F3, 69) (dual of [102, 3, 70]-code) | [i] | ||
| 5 | Linear OA(398, 101, F3, 68) (dual of [101, 3, 69]-code) | [i] | ||
| 6 | Linear OA(396, 99, F3, 66) (dual of [99, 3, 67]-code) | [i] | ||
| 7 | Linear OOA(3101, 52, F3, 2, 71) (dual of [(52, 2), 3, 72]-NRT-code) | [i] | OOA Folding | |