Information on Result #816133
Linear OOA(3199, 1123, F3, 2, 39) (dual of [(1123, 2), 2047, 40]-NRT-code), using OOA 2-folding based on linear OA(3199, 2246, F3, 39) (dual of [2246, 2047, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,15]) [i] based on
- linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(3141, 2188, F3, 31) (dual of [2188, 2047, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(316, 58, F3, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), 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 OOA(3201, 1124, F3, 2, 39) (dual of [(1124, 2), 2047, 40]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3203, 1125, F3, 2, 39) (dual of [(1125, 2), 2047, 40]-NRT-code) | [i] | ||
| 3 | Linear OOA(3205, 1126, F3, 2, 39) (dual of [(1126, 2), 2047, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 1123, F3, 2, 39) (dual of [(1123, 2), 2046, 40]-NRT-code) | [i] | OOA Duplication | |