Information on Result #954867
Linear OOA(3190, 750, F3, 3, 37) (dual of [(750, 3), 2060, 38]-NRT-code), using OOA 3-folding based on linear OA(3190, 2250, F3, 37) (dual of [2250, 2060, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(27) [i] based on
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(3190, 750, F3, 3, 36) (dual of [(750, 3), 2060, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3191, 750, F3, 3, 37) (dual of [(750, 3), 2059, 38]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3192, 750, F3, 3, 37) (dual of [(750, 3), 2058, 38]-NRT-code) | [i] | ||
| 4 | Linear OOA(3189, 749, F3, 3, 36) (dual of [(749, 3), 2058, 37]-NRT-code) | [i] | Truncation for OOAs | |