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Given signature z ∈ fn, hash value w ∈ fm, compute w0 = p(z) ∈ fm The public key size is 161,600 bytes and a private key size of 103,648 bytes If w0 = w holds, the signature is accepted, otherwise rejected
The design of rainbow is based on the uov by patarin etc invented in 1999 As a consequence, the combined scheme realizes even smaller size of the secret key and even more efficient signatur F = (f1(x1,., xo, x0 1,., x0 v), · · · , fo(x1,., xo, x0 1,., x0 v)).
The public key size is 161,600 bytes and a private key size of 103,648 bytes.
In this paper we extend this idea to the rainbow signature scheme of ding and schmidt [ds05] By our construction it is possible to reduce he size of the public key by up to 62 %. As expected the rainbow keys showed quick signatures despite their size Additionally, the optimized version also showed a more efficient signature time, but a wider time range.
At indocrypt 2017, beullens and preneel introduced a new variant luov of uov Their idea is to generate a uov scheme over the binary field l = f2 and then lift it into a bigger field k = f2r and hence dramatically reduce the public key size. In this chapter, we only consider the classic parameters Table 7.1 security parameters, signature size, public key size, and secret key size of rainbow variants
Next, the key generation, signature generation, and signature verification algorithms of rainbow are introduced.
This paper, we combine these two variants of rainbow
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