Information on Result #1645500
Linear OOA(3164, 3227, F3, 5, 31) (dual of [(3227, 5), 15971, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3164, 3227, F3, 2, 31) (dual of [(3227, 2), 6290, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3164, 3287, F3, 2, 31) (dual of [(3287, 2), 6410, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3164, 6574, F3, 31) (dual of [6574, 6410, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(27) [i] based on
- linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(30) ⊂ Ce(27) [i] based on
- OOA 2-folding [i] based on linear OA(3164, 6574, F3, 31) (dual of [6574, 6410, 32]-code), using
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(3164, 1075, F3, 35, 31) (dual of [(1075, 35), 37461, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |