Information on Result #677757
Linear OA(3144, 160, F3, 80) (dual of [160, 16, 81]-code), using construction X applied to Ce(79) ⊂ Ce(39) based on
- linear OA(380, 81, F3, 80) (dual of [81, 1, 81]-code or 81-arc in PG(79,3)), using an extension Ce(79) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(365, 81, F3, 40) (dual of [81, 16, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(364, 79, F3, 39) (dual of [79, 15, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 40 [i]
- discarding factors / shortening the dual code based on linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-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 OOA(3144, 80, F3, 2, 80) (dual of [(80, 2), 16, 81]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3144, 53, F3, 3, 80) (dual of [(53, 3), 15, 81]-NRT-code) | [i] | ||
| 3 | Linear OOA(3144, 32, F3, 5, 80) (dual of [(32, 5), 16, 81]-NRT-code) | [i] | ||