Information on Result #674708
Linear OA(335, 177160, F3, 5) (dual of [177160, 177125, 6]-code), using construction X4 applied to Ce(4) ⊂ Ce(3) based on
- linear OA(334, 177147, F3, 5) (dual of [177147, 177113, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(323, 177147, F3, 4) (dual of [177147, 177124, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [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(335, 177160, F3, 2, 5) (dual of [(177160, 2), 354285, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(335, 177160, F3, 3, 5) (dual of [(177160, 3), 531445, 6]-NRT-code) | [i] | ||
| 3 | Linear OOA(335, 177160, F3, 4, 5) (dual of [(177160, 4), 708605, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(335, 88580, F3, 2, 5) (dual of [(88580, 2), 177125, 6]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(335, 88579, F3, 3, 5) (dual of [(88579, 3), 265702, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 6 | Linear OOA(335, 88579, F3, 4, 5) (dual of [(88579, 4), 354281, 6]-NRT-code) | [i] | ||
| 7 | Linear OOA(335, 88579, F3, 5, 5) (dual of [(88579, 5), 442860, 6]-NRT-code) | [i] | ||