Information on Result #677197
Linear OA(356, 248, F3, 17) (dual of [248, 192, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(356, 243, F3, 17) (dual of [243, 187, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(351, 243, F3, 16) (dual of [243, 192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 242 = 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(363, 277, F3, 17) (dual of [277, 214, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OOA(356, 124, F3, 2, 17) (dual of [(124, 2), 192, 18]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(356, 82, F3, 3, 17) (dual of [(82, 3), 190, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(356, 62, F3, 4, 17) (dual of [(62, 4), 192, 18]-NRT-code) | [i] | ||