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[itsu]

What happens to the polarity of the pulses if you flip the switch S2 ?

Nothing,  they stay the same.
S2 changes (inverts) the signal on pin 1 of the nano-pulser 74HCT00, but seems not to effect the output nano-pulse polarity.
You can see that in one of the earlier video's where a flip the switch while scoping both the input and output of the nano-pulser
See this video at the 2:10 minute mark:   http://www.youtube.com/watch?v=027nASXSktc&list=UUdJ2A-075yx9y4bKqu_8Q8A&index=3&feature=plcp

Regards Itsu 

[verpies]

@Itsu
You could change the polarity of these 300ns pulses as shown below, however it won't be a 1:1 replication anymore and the rise time may suffer because of the decreased gate fan-out. 
A slipshod job, in the least.

The alternative is to switch to emitter follower or add more gates or transistors.

[dorcky]

Hello All!
Found here something to calculate ferrite ring permeability...
Hope will be useful for you all in near future ...

http://coil32.narod.ru/download-en.html

Regards!

[itsu]

verpies,

The alternative is to switch to emitter follower

I will try that first (emitter follower), thanks for looking into this.

Regards Itsu

[verpies]

I will try that first (emitter follower), thanks for looking into this.

If you want to learn more about emitter followers then take a look at page 32 of the attachment, for a complementary push-pull emitter-follower in Fig. 52a.

P.S.
Note that I have not taken the time to analyze the DSR Diode driver that uses a saturable core transformer.
Maybe this circuit is supposed to work with Q6 conducting most of the time and interrupting the current in W1 of T1 only for 300ns (like in a car's ignition coil).
Maybe the current through L5 will not have the time to build up to destructive levels during the 50μs between the 300ns needles (assuming 20kHz oscillation of U2).
Unfortunately, the relevant document describing this method of driving the DSRD by a saturable transformer is written in Russian language.