Information on Result #2679248
Linear OOA(3202, 747, F3, 3, 40) (dual of [(747, 3), 2039, 41]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3199, 746, F3, 3, 40) (dual of [(746, 3), 2039, 41]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3199, 2238, F3, 40) (dual of [2238, 2039, 41]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [i] based on
- 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(3148, 2187, F3, 32) (dual of [2187, 2039, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(316, 51, F3, 7) (dual of [51, 35, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(39) ⊂ Ce(31) [i] based on
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(3203, 747, F3, 3, 40) (dual of [(747, 3), 2038, 41]-NRT-code) | [i] | OOA Duplication | |