Information on Result #661567
Linear OA(4104, 108, F4, 79) (dual of [108, 4, 80]-code), using juxtaposition based on
- linear OA(419, 23, F4, 15) (dual of [23, 4, 16]-code), using
- construction X applied to C1 ⊂ C2 with C1 a [17,1,16]-code [i] 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(4104, 108, F4, 78) (dual of [108, 4, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4100, 104, F4, 75) (dual of [104, 4, 76]-code) | [i] | Truncation | |
| 3 | Linear OA(499, 103, F4, 74) (dual of [103, 4, 75]-code) | [i] | ||
| 4 | Linear OOA(4104, 54, F4, 2, 79) (dual of [(54, 2), 4, 80]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4104, 36, F4, 3, 79) (dual of [(36, 3), 4, 80]-NRT-code) | [i] | ||