Information on Result #610632
Linear OA(4166, 170, F4, 127) (dual of [170, 4, 128]-code), using repeating each code word 2 times based on linear OA(481, 85, F4, 63) (dual of [85, 4, 64]-code), using
- Simplex code S(4,4) [i]
- the expurgated narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [0,56], and minimum distance d ≥ |{−6,−5,…,56}|+1 = 64 (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(4166, 170, F4, 126) (dual of [170, 4, 127]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4166, 170, F4, 125) (dual of [170, 4, 126]-code) | [i] | ||
| 3 | Linear OA(4166, 170, F4, 124) (dual of [170, 4, 125]-code) | [i] | ||
| 4 | Linear OA(4167, 171, F4, 127) (dual of [171, 4, 128]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(4168, 172, F4, 127) (dual of [172, 4, 128]-code) | [i] | ||
| 6 | Linear OA(4165, 169, F4, 126) (dual of [169, 4, 127]-code) | [i] | Truncation | |
| 7 | Linear OA(4164, 168, F4, 125) (dual of [168, 4, 126]-code) | [i] | ||
| 8 | Linear OA(4163, 167, F4, 124) (dual of [167, 4, 125]-code) | [i] | ||
| 9 | Linear OA(4162, 166, F4, 123) (dual of [166, 4, 124]-code) | [i] | ||
| 10 | Linear OOA(4166, 85, F4, 2, 127) (dual of [(85, 2), 4, 128]-NRT-code) | [i] | OOA Folding | |