Hi,
Gyrator could not be used because I need the resonance/transformer property of the LC to increase the voltages from the low power supply (battery).
100mH is not the only one possibility - any inductance bigger than 100mH could do the job until it's small enough (max outside diameter is 3.6mm, length < 30mm).
The Epcos coil falls exactly in the specs I needed. Because the magnetic field lines are closed it should yield extremely high inductance compared to ferrite rod. Thank you FvM for the idea! There are two problems with the Epcos core - the price is too high and the space for the coil is too small.
>>An "open path" inductor like a rod core sounds even more unrealistic.
Actually at the moment I'm experimenting with such small "unrealistic" coil and it works perfectly well, the only one problem is that it's "home made" where I need something "on shelf", some standard product.
Thank you for the suggestions.
Luben