Information on Result #812849
Linear OOA(372, 29530, F3, 2, 11) (dual of [(29530, 2), 58988, 12]-NRT-code), using OOA 2-folding based on linear OA(372, 59060, F3, 11) (dual of [59060, 58988, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(372, 59061, F3, 11) (dual of [59061, 58989, 12]-code), using
- construction X4 applied to C([0,10]) ⊂ C([1,9]) [i] based on
- linear OA(371, 59048, F3, 11) (dual of [59048, 58977, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(360, 59048, F3, 9) (dual of [59048, 58988, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- linear OA(31, 13, F3, 1) (dual of [13, 12, 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
- construction X4 applied to C([0,10]) ⊂ C([1,9]) [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(372, 28143, F3, 3, 11) (dual of [(28143, 3), 84357, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(372, 28143, F3, 4, 11) (dual of [(28143, 4), 112500, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(372, 28143, F3, 5, 11) (dual of [(28143, 5), 140643, 12]-NRT-code) | [i] | ||
| 4 | Digital (61, 72, 28143)-net over F3 | [i] | ||