Information on Result #2467975
Linear OOA(3179, 265749, F3, 2, 21) (dual of [(265749, 2), 531319, 22]-NRT-code), using 1 step truncation based on linear OOA(3180, 265750, F3, 2, 22) (dual of [(265750, 2), 531320, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3180, 531500, F3, 22) (dual of [531500, 531320, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(311, 59, F3, 5) (dual of [59, 48, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(21) ⊂ Ce(15) [i] based on
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 OOA(3179, 185675, F3, 3, 21) (dual of [(185675, 3), 556846, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3179, 185675, F3, 4, 21) (dual of [(185675, 4), 742521, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(3179, 185675, F3, 5, 21) (dual of [(185675, 5), 928196, 22]-NRT-code) | [i] | ||
| 4 | Digital (158, 179, 185675)-net over F3 | [i] | ||