Information on Result #1409844
Linear OOA(3123, 1283, F3, 2, 26) (dual of [(1283, 2), 2443, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3123, 1283, F3, 26) (dual of [1283, 1160, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3123, 2200, F3, 26) (dual of [2200, 2077, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [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(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(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(25) ⊂ Ce(22) [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(3123, 641, F3, 4, 26) (dual of [(641, 4), 2441, 27]-NRT-code) | [i] | OOA Folding | |