Information on Result #1527120
Linear OOA(3189, 2181, F3, 3, 38) (dual of [(2181, 3), 6354, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3189, 2181, F3, 38) (dual of [2181, 1992, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(3189, 2229, F3, 38) (dual of [2229, 2040, 39]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [i] based on
- linear OA(3176, 2187, F3, 38) (dual of [2187, 2011, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3141, 2187, F3, 31) (dual of [2187, 2046, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(313, 42, F3, 6) (dual of [42, 29, 7]-code), using
- construction X applied to Ce(37) ⊂ Ce(30) [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(3189, 1090, F3, 5, 38) (dual of [(1090, 5), 5261, 39]-NRT-code) | [i] | OOA Folding | |