Information on Result #677502
Linear OA(3171, 191, F3, 93) (dual of [191, 20, 94]-code), using construction X applied to Ce(97) ⊂ Ce(90) based on
- linear OA(3170, 183, F3, 98) (dual of [183, 13, 99]-code), using an extension Ce(97) of the narrow-sense BCH-code C(I) with length 182 | 36−1, defining interval I = [1,97], and designed minimum distance d ≥ |I|+1 = 98 [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(31, 8, F3, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-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(3171, 191, F3, 92) (dual of [191, 20, 93]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3171, 191, F3, 91) (dual of [191, 20, 92]-code) | [i] | ||
| 3 | Linear OA(3171, 191, F3, 90) (dual of [191, 20, 91]-code) | [i] | ||
| 4 | Linear OOA(3171, 95, F3, 2, 93) (dual of [(95, 2), 19, 94]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3171, 38, F3, 5, 93) (dual of [(38, 5), 19, 94]-NRT-code) | [i] | ||