Information on Result #1645776
Linear OOA(3168, 1269516, F3, 5, 18) (dual of [(1269516, 5), 6347412, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3168, 1269516, F3, 3, 18) (dual of [(1269516, 3), 3808380, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3168, 1594323, F3, 3, 18) (dual of [(1594323, 3), 4782801, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3168, 4782969, F3, 18) (dual of [4782969, 4782801, 19]-code), using
- 1 times truncation [i] based on linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3169, 4782970, F3, 19) (dual of [4782970, 4782801, 20]-code), using
- OOA 3-folding [i] based on linear OA(3168, 4782969, F3, 18) (dual of [4782969, 4782801, 19]-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(3168, 634757, F3, 25, 18) (dual of [(634757, 25), 15868757, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |