Information on Result #816538
Linear OOA(372, 44, F3, 2, 43) (dual of [(44, 2), 16, 44]-NRT-code), using OOA 2-folding based on linear OA(372, 88, F3, 43) (dual of [88, 16, 44]-code), using
- construction XX applied to Ce(43) ⊂ Ce(40) ⊂ Ce(39) [i] based on
- linear OA(370, 81, F3, 44) (dual of [81, 11, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(366, 81, F3, 41) (dual of [81, 15, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(365, 81, F3, 40) (dual of [81, 16, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(370, 43, F3, 2, 41) (dual of [(43, 2), 16, 42]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(369, 42, F3, 2, 40) (dual of [(42, 2), 15, 41]-NRT-code) | [i] | ||
| 3 | Linear OOA(368, 42, F3, 2, 39) (dual of [(42, 2), 16, 40]-NRT-code) | [i] | ||
| 4 | Linear OOA(367, 41, F3, 2, 38) (dual of [(41, 2), 15, 39]-NRT-code) | [i] | ||