Information on Result #1532724
Linear OOA(3242, 9078, F3, 3, 40) (dual of [(9078, 3), 26992, 41]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3242, 9078, F3, 2, 40) (dual of [(9078, 2), 17914, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3242, 9855, F3, 2, 40) (dual of [(9855, 2), 19468, 41]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3242, 19710, F3, 40) (dual of [19710, 19468, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(34) [i] based on
- linear OA(3235, 19683, F3, 40) (dual of [19683, 19448, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(3208, 19683, F3, 35) (dual of [19683, 19475, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(39) ⊂ Ce(34) [i] based on
- OOA 2-folding [i] based on linear OA(3242, 19710, F3, 40) (dual of [19710, 19468, 41]-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(3242, 4539, F3, 5, 40) (dual of [(4539, 5), 22453, 41]-NRT-code) | [i] | OOA Folding | |