Information on Result #675612
Linear OA(3206, 6630, F3, 35) (dual of [6630, 6424, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(321, 69, F3, 8) (dual of [69, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3206, 6025, F3, 2, 35) (dual of [(6025, 2), 11844, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3206, 6025, F3, 3, 35) (dual of [(6025, 3), 17869, 36]-NRT-code) | [i] | ||
| 3 | Linear OOA(3206, 6025, F3, 4, 35) (dual of [(6025, 4), 23894, 36]-NRT-code) | [i] | ||
| 4 | Linear OOA(3206, 6025, F3, 5, 35) (dual of [(6025, 5), 29919, 36]-NRT-code) | [i] | ||
| 5 | Digital (171, 206, 6025)-net over F3 | [i] | ||
| 6 | Linear OOA(3206, 3315, F3, 2, 35) (dual of [(3315, 2), 6424, 36]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3206, 2210, F3, 3, 35) (dual of [(2210, 3), 6424, 36]-NRT-code) | [i] | ||
| 8 | Linear OOA(3206, 1657, F3, 4, 35) (dual of [(1657, 4), 6422, 36]-NRT-code) | [i] | ||
| 9 | Linear OOA(3206, 1326, F3, 5, 35) (dual of [(1326, 5), 6424, 36]-NRT-code) | [i] | ||