Information on Result #677719
Linear OA(332, 86, F3, 13) (dual of [86, 54, 14]-code), using construction X applied to Ce(12) ⊂ Ce(10) based on
- linear OA(331, 81, F3, 13) (dual of [81, 50, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(327, 81, F3, 11) (dual of [81, 54, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 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(338, 100, F3, 13) (dual of [100, 62, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(339, 105, F3, 13) (dual of [105, 66, 14]-code) | [i] | ||
| 3 | Linear OA(3249, 812, F3, 57) (dual of [812, 563, 58]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 4 | Linear OOA(332, 43, F3, 2, 13) (dual of [(43, 2), 54, 14]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(332, 28, F3, 3, 13) (dual of [(28, 3), 52, 14]-NRT-code) | [i] | ||