Information on Result #2230712
Linear OA(3151, 171, F3, 79) (dual of [171, 20, 80]-code), using 13 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(3158, 180, F3, 79) (dual of [180, 22, 80]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(3151, 85, F3, 2, 79) (dual of [(85, 2), 19, 80]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3151, 57, F3, 3, 79) (dual of [(57, 3), 20, 80]-NRT-code) | [i] | ||
| 4 | Linear OOA(3151, 34, F3, 5, 79) (dual of [(34, 5), 19, 80]-NRT-code) | [i] | ||