Information on Result #677503
Linear OA(3180, 200, F3, 98) (dual of [200, 20, 99]-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(310, 17, F3, 6) (dual of [17, 7, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 22, F3, 6) (dual of [22, 12, 7]-code), using
- 2 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 2 times truncation [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(310, 22, F3, 6) (dual of [22, 12, 7]-code), 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(3180, 200, F3, 97) (dual of [200, 20, 98]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3180, 200, F3, 96) (dual of [200, 20, 97]-code) | [i] | ||
| 3 | Linear OA(3179, 199, F3, 97) (dual of [199, 20, 98]-code) | [i] | Truncation | |
| 4 | Linear OOA(3180, 40, F3, 5, 98) (dual of [(40, 5), 20, 99]-NRT-code) | [i] | OOA Folding | |