Information on Result #2232139
Linear OA(3172, 204, F3, 82) (dual of [204, 32, 83]-code), using 40 times truncation based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [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(3174, 207, F3, 82) (dual of [207, 33, 83]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(3175, 209, F3, 82) (dual of [209, 34, 83]-code) | [i] | ||
| 3 | Linear OOA(3172, 102, F3, 2, 82) (dual of [(102, 2), 32, 83]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3172, 68, F3, 3, 82) (dual of [(68, 3), 32, 83]-NRT-code) | [i] | ||