Information on Result #674223
Linear OA(3175, 4783004, F3, 19) (dual of [4783004, 4782829, 20]-code), using construction X applied to C([0,9]) ⊂ C([0,7]) 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]
- linear OA(3141, 4782970, F3, 15) (dual of [4782970, 4782829, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(36, 34, F3, 3) (dual of [34, 28, 4]-code or 34-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
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 OA(3176, 4783005, F3, 19) (dual of [4783005, 4782829, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3174, 4783003, F3, 18) (dual of [4783003, 4782829, 19]-code) | [i] | Truncation | |
| 3 | Linear OOA(3175, 2391502, F3, 2, 19) (dual of [(2391502, 2), 4782829, 20]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3175, 1195751, F3, 4, 19) (dual of [(1195751, 4), 4782829, 20]-NRT-code) | [i] | ||