Information on Result #675905
Linear OA(3106, 2194, F3, 23) (dual of [2194, 2088, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(3106, 2187, F3, 23) (dual of [2187, 2081, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(3107, 2195, F3, 23) (dual of [2195, 2088, 24]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3117, 2230, F3, 23) (dual of [2230, 2113, 24]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3118, 2241, F3, 23) (dual of [2241, 2123, 24]-code) | [i] | ||
| 4 | Linear OA(3119, 2256, F3, 23) (dual of [2256, 2137, 24]-code) | [i] | ||
| 5 | Linear OA(3120, 2275, F3, 23) (dual of [2275, 2155, 24]-code) | [i] | ||
| 6 | Linear OOA(3106, 1097, F3, 2, 23) (dual of [(1097, 2), 2088, 24]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3106, 731, F3, 3, 23) (dual of [(731, 3), 2087, 24]-NRT-code) | [i] | ||
| 8 | Linear OOA(3106, 548, F3, 4, 23) (dual of [(548, 4), 2086, 24]-NRT-code) | [i] | ||
| 9 | Linear OOA(3106, 438, F3, 5, 23) (dual of [(438, 5), 2084, 24]-NRT-code) | [i] | ||