Information on Result #1528499
Linear OOA(3204, 1821, F3, 3, 43) (dual of [(1821, 3), 5259, 44]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3204, 1821, F3, 43) (dual of [1821, 1617, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(3204, 2214, F3, 43) (dual of [2214, 2010, 44]-code), using
- construction X applied to Ce(42) ⊂ Ce(37) [i] based on
- linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- 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(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(42) ⊂ Ce(37) [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(3204, 910, F3, 5, 43) (dual of [(910, 5), 4346, 44]-NRT-code) | [i] | OOA Folding | |