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"It will require much more research; experimentation and investment to extend to wider use; boost transmission rates and distance. This is certainly a step in the right direction to address global security concerns concerning public internet use."

Development of OQS has been supported in part by the Tutte Institute for Mathematics and Computing. Research projects which developed specific components of OQS have been supported by various research grants, including funding from the Natural Sciences and Engineering Research Council of Canada (NSERC); see the source papers for funding acknowledgments.

Because all the fastest known algorithms that allow one to solve the ECDLP ( baby-step giant-step , Pollard's rho , etc.), need
O
(
n
)
{\displaystyle O({\sqrt {n}})}
steps, it follows that the size of the underlying field should be roughly twice the security parameter. For example, for 128-bit security one needs a curve over
F
q
{\displaystyle \mathbb {F} _{q}}
, where
q
≈
2
256
{\displaystyle q\approx 2^{256}}
. This can be contrasted with finite-field cryptography (., DSA ) which requires [19] 3072-bit public keys and 256-bit private keys, and integer factorization cryptography (., RSA ) which requires a 3072-bit value of * n* , where the private key should be just as large. However the public key may be smaller to accommodate efficient encryption, especially when processing power is limited.