Information on Result #1409949
Linear OOA(3125, 1408, F3, 2, 26) (dual of [(1408, 2), 2691, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3125, 1408, F3, 26) (dual of [1408, 1283, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3125, 2207, F3, 26) (dual of [2207, 2082, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- 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(399, 2187, F3, 22) (dual of [2187, 2088, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
- construction X applied to Ce(25) ⊂ Ce(21) [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(3125, 704, F3, 4, 26) (dual of [(704, 4), 2691, 27]-NRT-code) | [i] | OOA Folding | |