Information on Result #1102839
Linear OOA(3189, 1316, F3, 5, 35) (dual of [(1316, 5), 6391, 36]-NRT-code), using OOA 5-folding based on linear OA(3189, 6580, F3, 35) (dual of [6580, 6391, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3189, 6581, F3, 35) (dual of [6581, 6392, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(31) [i] based on
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(34) ⊂ Ce(31) [i] based on
Mode: Constructive and 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(3190, 1316, F3, 5, 35) (dual of [(1316, 5), 6390, 36]-NRT-code) | [i] | OOA Duplication | |