Information on Result #1525599
Linear OOA(3170, 2087, F3, 3, 34) (dual of [(2087, 3), 6091, 35]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3170, 2087, F3, 34) (dual of [2087, 1917, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, 2231, F3, 34) (dual of [2231, 2061, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3120, 2187, F3, 26) (dual of [2187, 2067, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(315, 44, F3, 7) (dual of [44, 29, 8]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
Mode: 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(3170, 1043, F3, 5, 34) (dual of [(1043, 5), 5045, 35]-NRT-code) | [i] | OOA Folding | |