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According to this paper, two public keys are insecure if the corresponding private keys, f$f$ and f'$f'$ are too close to each other*. It follows that public keys are insecure if f=f'$f=f'$ regardless of the g$g$ values.

* ||f-f'|| < min(||f||, ||f'||)$\|f-f'\| < min(\|f\|, \|f'\|)$

According to this paper, two public keys are insecure if the corresponding private keys, f and f' are too close to each other*. It follows that public keys are insecure if f=f' regardless of the g values.

* ||f-f'|| < min(||f||, ||f'||)

According to this paper, two public keys are insecure if the corresponding private keys, $f$ and $f'$ are too close to each other*. It follows that public keys are insecure if $f=f'$ regardless of the $g$ values.

* $\|f-f'\| < min(\|f\|, \|f'\|)$

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According to this paper, two public keys are insecure if the corresponding private keys, f and f' are too close to each other*. It follows that public keys are insecure if f=f' regardless of the g values.

* ||f-f'|| < min(||f||, ||f'||)