Information on Result #677592
Linear OA(385, 101, F3, 48) (dual of [101, 16, 49]-code), using construction X applied to C([1,99]) ⊂ C([1,79]) based on
- linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using contraction [i] based on linear OA(3153, 160, F3, 99) (dual of [160, 7, 100]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
- linear OA(364, 80, F3, 39) (dual of [80, 16, 40]-code), using contraction [i] based on linear OA(3144, 160, F3, 79) (dual of [160, 16, 80]-code), using the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(312, 21, F3, 8) (dual of [21, 9, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-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(385, 101, F3, 47) (dual of [101, 16, 48]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(385, 101, F3, 46) (dual of [101, 16, 47]-code) | [i] | ||
| 3 | Linear OA(385, 101, F3, 45) (dual of [101, 16, 46]-code) | [i] | ||
| 4 | Linear OA(3101, 122, F3, 48) (dual of [122, 21, 49]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(385, 50, F3, 2, 48) (dual of [(50, 2), 15, 49]-NRT-code) | [i] | OOA Folding | |