From 63e97d3f520a6d77340300b2ea88dd1eaa8288b6 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Marcin=20Wo=C5=BAniak?= Date: Sat, 7 Nov 2020 18:33:34 +0100 Subject: [PATCH] Added version 1 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: Marcin Woźniak --- 1/WarunkiZaliczeniaCwiczen.pdf | Bin 0 -> 57151 bytes 1/cw1_algkrypto1.pdf | Bin 0 -> 149469 bytes 1/kryptoalg1.pdf | Bin 0 -> 118996 bytes 2-lab/lab1.pdf | Bin 0 -> 175682 bytes 2-lab/lab1_kryptoalgo.pdf | Bin 0 -> 136925 bytes 2-lab/modul1.rb | 122 +++++++++++++++++++++++++++++++++ 6 files changed, 122 insertions(+) create mode 100644 1/WarunkiZaliczeniaCwiczen.pdf create mode 100644 1/cw1_algkrypto1.pdf create mode 100644 1/kryptoalg1.pdf create mode 100644 2-lab/lab1.pdf create mode 100644 2-lab/lab1_kryptoalgo.pdf create mode 100755 2-lab/modul1.rb diff --git a/1/WarunkiZaliczeniaCwiczen.pdf b/1/WarunkiZaliczeniaCwiczen.pdf new file mode 100644 index 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z$|vZg?PhRszr9X0d1$tDrzzmz@av)IkZRCto+BW9|4yK$-olB*zE;pa&7ro$0({6X z^3_B6wuB)!DrnHnjegBbMBY0`! z-BB?}g`LCelThF4{_>00;|(0jJM_K#VvX&?9y3X^L!b8chk>dLQ(M8LkDvQ8J{!}A z6y7URv>o=u_!Trw6@K=tx>uBDWAX!&`a8kB#=N2qJMAfsm5s6JuaC@rQS#wh-9+Qm zp`YLF8oD>1azA-g1r{N!O`5peEb?wj1IpF_RdRe%^%L3BiZhhn8)iItwVcCGXX;c2 z130RQIX_v&TW?fCzAz+u=lr}~6DatSi)&0l`JvHIhUJ^h&oKipxuhz;;fk&2x4Dn4 z)*7&l_~1L4#v=W+{Y*zJ9ofeZ=5vne^SkU4!9GP=kEBu$Kc1;u-KkHj5GX95uMN9O-oXacR3PzVGZr3KZ1%fX>Ybp%ZFRJOx4wdCbtaJU8%rKSS>-zlfB z{8I|UkpHk|2L2yXSak3WbDKSD5B6SZHjD_Rg>(~bxjuyfR*fIs5087OEz 0 then + if k == 1 then + min = 0 + max = 1 + else + min = 2**(k-1) + max = (2**k)-1 + end + end + r = rand(min..max) + while true do + ra = rand(min..max) + if ra < n then + break + end + end + + return ra + +end + +## Zad. 1.2 +def reciprocal_Phi_n(n,b) + u = extended_euklides(n,b)[0] + v = extended_euklides(n,b)[1] + + if v % n == 0 then + return v + else + return u + end +end + +## Zad. 1.3 + +def betterExponentiation(x,k,n) + b = x.to_s(2) + l = b.count "[0-1]" + y = 1 + i = l - 1 + + for j in 1..i + y = y**2 % n + if b[-1*(j)] + y = y * x % n + end + end + return y +end + +## Zad. 1.4 +def remSqEuler(a,p) + ans = betterExponentiation(a,(p-1)/2,p) + + if ans > 0 && Prime.prime?(p) then + return true + else + return false + end +end + +## Zad. 1.5 +def squareRootFp(a) + p = 3 % 4 + if remSqEuler(a,p) then + bp = betterExponentiation(a,(p+1)/4,4) % 4 + bm = -1 * bp + return bp,bm + end +end + +#puts extended_euklides(10,13) +puts random_gen_Zn(50,3) +#puts reciprocal_Phi_n(10,13) +#puts betterExponentiation(112218876,2,10) +#puts remSqEuler(3,13) +#puts squareRootFp(13)