Information on Result #817375
Linear OOA(3246, 1125, F3, 2, 49) (dual of [(1125, 2), 2004, 50]-NRT-code), using OOA 2-folding based on linear OA(3246, 2250, F3, 49) (dual of [2250, 2004, 50]-code), using
- construction X applied to Ce(48) ⊂ Ce(39) [i] based on
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3183, 2187, F3, 40) (dual of [2187, 2004, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(321, 63, F3, 8) (dual of [63, 42, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-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(3246, 1125, F3, 2, 48) (dual of [(1125, 2), 2004, 49]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3248, 1126, F3, 2, 49) (dual of [(1126, 2), 2004, 50]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3247, 1125, F3, 2, 49) (dual of [(1125, 2), 2003, 50]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3245, 1124, F3, 2, 48) (dual of [(1124, 2), 2003, 49]-NRT-code) | [i] | Truncation for OOAs | |