Information on Result #677650
Linear OA(351, 127, F3, 17) (dual of [127, 76, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(351, 122, F3, 17) (dual of [122, 71, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(346, 122, F3, 16) (dual of [122, 76, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 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(352, 128, F3, 17) (dual of [128, 76, 18]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(352, 132, F3, 17) (dual of [132, 80, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(353, 139, F3, 17) (dual of [139, 86, 18]-code) | [i] | ||
| 4 | Linear OA(352, 129, F3, 17) (dual of [129, 77, 18]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(351, 63, F3, 2, 17) (dual of [(63, 2), 75, 18]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(351, 42, F3, 3, 17) (dual of [(42, 3), 75, 18]-NRT-code) | [i] | ||