Information on Result #1532718
Linear OOA(3242, 3500, F3, 3, 46) (dual of [(3500, 3), 10258, 47]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3242, 3500, F3, 46) (dual of [3500, 3258, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(3242, 6570, F3, 46) (dual of [6570, 6328, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(43) [i] based on
- linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- 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(31, 9, F3, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(45) ⊂ Ce(43) [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(3242, 1750, F3, 5, 46) (dual of [(1750, 5), 8508, 47]-NRT-code) | [i] | OOA Folding | |