Information on Result #1419366
Linear OOA(3246, 4971, F3, 2, 44) (dual of [(4971, 2), 9696, 45]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3246, 4971, F3, 44) (dual of [4971, 4725, 45]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 6606, F3, 44) (dual of [6606, 6360, 45]-code), using
- 2 times code embedding in larger space [i] based on linear OA(3244, 6604, F3, 44) (dual of [6604, 6360, 45]-code), using
- construction X applied to Ce(43) ⊂ Ce(37) [i] based on
- linear OA(3233, 6561, F3, 44) (dual of [6561, 6328, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3201, 6561, F3, 38) (dual of [6561, 6360, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(311, 43, F3, 5) (dual of [43, 32, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-code), using
- construction X applied to Ce(43) ⊂ Ce(37) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(3244, 6604, F3, 44) (dual of [6604, 6360, 45]-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(3246, 2485, F3, 3, 44) (dual of [(2485, 3), 7209, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3246, 2485, F3, 4, 44) (dual of [(2485, 4), 9694, 45]-NRT-code) | [i] | ||