Information on Result #2230707
Linear OA(3156, 176, F3, 84) (dual of [176, 20, 85]-code), using 8 times truncation based on linear OA(3164, 184, F3, 92) (dual of [184, 20, 93]-code), using
- construction X applied to Ce(91) ⊂ Ce(90) [i] based on
- linear OA(3164, 183, F3, 92) (dual of [183, 19, 93]-code), using an extension Ce(91) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,91], and designed minimum distance d ≥ |I|+1 = 92 [i]
- linear OA(3163, 183, F3, 91) (dual of [183, 20, 92]-code), using an extension Ce(90) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,90], and designed minimum distance d ≥ |I|+1 = 91 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.
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(3166, 188, F3, 84) (dual of [188, 22, 85]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(3164, 186, F3, 83) (dual of [186, 22, 84]-code) | [i] | ||
| 3 | Linear OOA(3156, 88, F3, 2, 84) (dual of [(88, 2), 20, 85]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3156, 58, F3, 3, 84) (dual of [(58, 3), 18, 85]-NRT-code) | [i] | ||
| 5 | Linear OOA(3156, 35, F3, 5, 84) (dual of [(35, 5), 19, 85]-NRT-code) | [i] | ||