Information on Result #1602711
Linear OOA(3101, 177156, F3, 4, 13) (dual of [(177156, 4), 708523, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3101, 177156, F3, 3, 13) (dual of [(177156, 3), 531367, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3101, 531468, F3, 13) (dual of [531468, 531367, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3101, 531469, F3, 13) (dual of [531469, 531368, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [i] based on
- linear OA(397, 531441, F3, 13) (dual of [531441, 531344, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(373, 531441, F3, 10) (dual of [531441, 531368, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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(12) ⊂ Ce(9) [i] based on
- discarding factors / shortening the dual code based on linear OA(3101, 531469, F3, 13) (dual of [531469, 531368, 14]-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(3102, 177156, F3, 4, 13) (dual of [(177156, 4), 708522, 14]-NRT-code) | [i] | OOA Duplication | |