Information on Result #812855
Linear OOA(379, 88580, F3, 2, 11) (dual of [(88580, 2), 177081, 12]-NRT-code), using OOA 2-folding based on linear OA(379, 177160, F3, 11) (dual of [177160, 177081, 12]-code), using
- construction X4 applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(367, 177147, F3, 10) (dual of [177147, 177080, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, 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
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(381, 88581, F3, 2, 11) (dual of [(88581, 2), 177081, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(380, 88580, F3, 2, 11) (dual of [(88580, 2), 177080, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(379, 73606, F3, 3, 11) (dual of [(73606, 3), 220739, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(379, 73606, F3, 4, 11) (dual of [(73606, 4), 294345, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(379, 73606, F3, 5, 11) (dual of [(73606, 5), 367951, 12]-NRT-code) | [i] | ||
| 6 | Digital (68, 79, 73606)-net over F3 | [i] | ||