Information on Result #1527489
Linear OOA(3193, 8073, F3, 3, 32) (dual of [(8073, 3), 24026, 33]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3193, 8073, F3, 2, 32) (dual of [(8073, 2), 15953, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3193, 9848, F3, 2, 32) (dual of [(9848, 2), 19503, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3193, 19696, F3, 32) (dual of [19696, 19503, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(28) [i] based on
- linear OA(3190, 19683, F3, 32) (dual of [19683, 19493, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3172, 19683, F3, 29) (dual of [19683, 19511, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(31) ⊂ Ce(28) [i] based on
- OOA 2-folding [i] based on linear OA(3193, 19696, F3, 32) (dual of [19696, 19503, 33]-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(3193, 4036, F3, 5, 32) (dual of [(4036, 5), 19987, 33]-NRT-code) | [i] | OOA Folding | |