Information on Result #677313
Linear OA(348, 265, F3, 13) (dual of [265, 217, 14]-code), using construction X applied to Ce(12) ⊂ Ce(7) based on
- linear OA(341, 243, F3, 13) (dual of [243, 202, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(326, 243, F3, 8) (dual of [243, 217, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(37, 22, F3, 4) (dual of [22, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-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(348, 259, F3, 2, 13) (dual of [(259, 2), 470, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(348, 259, F3, 3, 13) (dual of [(259, 3), 729, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(348, 259, F3, 4, 13) (dual of [(259, 4), 988, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(348, 259, F3, 5, 13) (dual of [(259, 5), 1247, 14]-NRT-code) | [i] | ||
| 5 | Digital (35, 48, 259)-net over F3 | [i] | ||