Information on Result #2230116
Linear OA(3137, 155, F3, 72) (dual of [155, 18, 73]-code), using 11 times truncation based on linear OA(3148, 166, F3, 83) (dual of [166, 18, 84]-code), using
- construction X applied to Ce(82) ⊂ Ce(81) [i] based on
- linear OA(3148, 165, F3, 83) (dual of [165, 17, 84]-code), using an extension Ce(82) of the narrow-sense BCH-code C(I) with length 164 | 38−1, defining interval I = [1,82], and designed minimum distance d ≥ |I|+1 = 83 [i]
- linear OA(3147, 165, F3, 82) (dual of [165, 18, 83]-code), using an extension Ce(81) of the narrow-sense BCH-code C(I) with length 164 | 38−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [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(3143, 163, F3, 72) (dual of [163, 20, 73]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(3141, 160, F3, 72) (dual of [160, 19, 73]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(3137, 31, F3, 5, 72) (dual of [(31, 5), 18, 73]-NRT-code) | [i] | OOA Folding | |