Information on Result #2193964
Linear OA(3164, 184, F3, 89) (dual of [184, 20, 90]-code), using strength reduction 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(3161, 181, F3, 86) (dual of [181, 20, 87]-code) | [i] | Truncation | |
| 2 | Linear OA(3160, 180, F3, 85) (dual of [180, 20, 86]-code) | [i] | ||
| 3 | Linear OA(3159, 179, F3, 84) (dual of [179, 20, 85]-code) | [i] | ||
| 4 | Linear OA(3158, 178, F3, 83) (dual of [178, 20, 84]-code) | [i] | ||
| 5 | Linear OA(3157, 177, F3, 82) (dual of [177, 20, 83]-code) | [i] | ||
| 6 | Linear OA(3156, 176, F3, 81) (dual of [176, 20, 82]-code) | [i] | ||
| 7 | Linear OA(3155, 175, F3, 80) (dual of [175, 20, 81]-code) | [i] | ||
| 8 | Linear OA(3154, 174, F3, 79) (dual of [174, 20, 80]-code) | [i] | ||
| 9 | Linear OA(3153, 173, F3, 78) (dual of [173, 20, 79]-code) | [i] | ||