Information on Result #2247220
Linear OA(588, 78149, F5, 15) (dual of [78149, 78061, 16]-code), using 1 times truncation based on linear OA(589, 78150, F5, 16) (dual of [78150, 78061, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(564, 78125, F5, 12) (dual of [78125, 78061, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), 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(588, 67455, F5, 2, 15) (dual of [(67455, 2), 134822, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 67455, F5, 3, 15) (dual of [(67455, 3), 202277, 16]-NRT-code) | [i] | ||
| 3 | Digital (73, 88, 67455)-net over F5 | [i] | ||
| 4 | Linear OOA(588, 39074, F5, 2, 15) (dual of [(39074, 2), 78060, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(588, 26049, F5, 3, 15) (dual of [(26049, 3), 78059, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(588, 11164, F5, 15, 15) (dual of [(11164, 15), 167372, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |