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sca-scoring.jl
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sca-scoring.jl
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# This file is part of Jlsca, license is GPLv3, see https://www.gnu.org/licenses/gpl-3.0.en.html
#
# Author: Cees-Bart Breunesse
export sampleDeviationPreprocessor
export getScoresAndOffsets,getCombinedScores
export add2kka
export printScores
export getRoundKey
import Base.get
import Base.truncate
function allocateScoresAndOffsets(nrLeakageFunctions::Int, nrKeyChunkValues::Int, keyLength::Int)
scoresAndOffsets = Vector{Tuple{Matrix{Float64}, Matrix{UInt}}}(nrLeakageFunctions)
for i in 1:length(scoresAndOffsets)
scoresAndOffsets[i] = (zeros(Float64, nrKeyChunkValues, keyLength), zeros(UInt, nrKeyChunkValues, keyLength))
end
return scoresAndOffsets
end
# the scoring function returns two vectors of matrices, one with scores matrices, one with offet matrices into the samples, for each leakage function
function getScoresAndOffsets!(scoresAndOffsets::Vector{Tuple{Matrix{Float64}, Matrix{UInt}}}, C::Matrix{Float64}, keyIdxIntoC::Int, keyIdxIntoScores::Int, nrLeakageFunctions::Int, preprocessors::Vector{Function}, nrKeyChunkValues::Int=256)
(rc, cc) = size(C)
for fn in preprocessors
C = fn(C)
end
for l in 1:nrLeakageFunctions
# max per column for each leakage function for given key byte idx
(scores, offsets) = scoresAndOffsets[l]
lower = (keyIdxIntoC-1)*nrLeakageFunctions*nrKeyChunkValues + (l-1)*nrKeyChunkValues + 1
upper = lower+nrKeyChunkValues-1
(corrvals, corrvaloffsets) = findmax(C[:,lower:upper], 1)
scores[:,keyIdxIntoScores] = corrvals
offsets[:,keyIdxIntoScores] = map(x -> ind2sub(size(C), x)[1] - 1, corrvaloffsets)
end
return scoresAndOffsets
end
# combine the leakages contributing to a single candidate
function getCombinedScores(scoresAndOffsets::Vector{Tuple{Matrix{Float64}, Matrix{UInt}}}, leakageFunctionsCombinator::Function=(+))
scores = zeros(scoresAndOffsets[1][1])
for (scoresSingleLeakage,offsetsSingleLeakage) in scoresAndOffsets
scores = leakageFunctionsCombinator(scores, scoresSingleLeakage)
end
return scores
end
# get a round key from the scores
function getRoundKey(scores::Matrix{Float64})
return vec(mapslices(x -> UInt8(sortperm(x, rev=true)[1] - 1), scores, 1))
end
# get a round key from the scores per leakage function by recombining them first
function getRoundKey(scoresAndOffsets::Vector{Tuple{Matrix{Float64}, Matrix{UInt}}}, leakageFunctionsCombinator=(+))
scores = getCombinedScores(scoresAndOffsets, leakageFunctionsCombinator)
return getRoundKey(scores)
end
function truncate(fname)
fd = open(fname, "w")
truncate(fd, 0)
close(fd)
end
function add2kka(scoresAndOffsets::Vector{Tuple{Matrix{Float64}, Matrix{UInt}}}, keyLength, keyOffsets, numberOfTraces, correctRoundKeymaterial::Vector{UInt8}, fdorstring::Union{IO,AbstractString}, leakageFunctionsCombinator=(+))
local fd
if isa(fdorstring,AbstractString)
isempty = stat(fdorstring).size == 0
fd = open(fdorstring, "a")
if isempty
@printf(fd, "#traces")
for j in 1:length(correctRoundKeymaterial)
@printf(fd, ",")
# @printf(fd, "kb%d rank,kb%d value,kb%d score", j,j,j)
@printf(fd, "kb%d rank", j)
end
@printf(fd, "\n")
end
else
fd = fdorstring
end
scores = getCombinedScores(scoresAndOffsets, leakageFunctionsCombinator)
@printf(fd, "%d", numberOfTraces)
for i in 1:length(correctRoundKeymaterial)
if i in keyOffsets
j = findfirst(x -> x == i, keyOffsets)
scoresPerCand = vec(scores[:,j])
# sort peaks
indexesPerCand = sortperm(vec(scoresPerCand), rev=true)
keybyte = correctRoundKeymaterial[keyOffsets[j]]
rank = findfirst(x -> x == (keybyte + 1), indexesPerCand)
score = scoresPerCand[keybyte+1]
@printf(fd, ",")
# @printf(fd, "%d,0x%02x,%f", rank, keybyte, score)
@printf(fd, "%d", rank)
else
# @printf(fd,",,,")
@printf(fd,",")
end
end
@printf(fd, "\n")
if isa(fdorstring,AbstractString)
close(fd)
end
end
# print the scores pretty
function printScores(scoresAndOffsets::Vector{Tuple{Matrix{Float64}, Matrix{UInt}}}, keyLength, keyOffsets, numberOfTraces, leakageFunctionsCombinator=(+), correctRoundKeymaterial=Nullable{Vector{UInt8}}(), printsubs=true, max=5, io=STDOUT)
max = 5
scores = getCombinedScores(scoresAndOffsets, leakageFunctionsCombinator)
nrLeakageFunctions = length(scoresAndOffsets)
winners = zeros(UInt8, keyLength)
@printf(io, "Results @ %d traces\n", numberOfTraces)
for j in 1:keyLength
corrvalsPerCand = vec(scores[:,j])
# sort peaks
indexes = sortperm(vec(corrvalsPerCand), rev=true)
winners[j] = indexes[1] - 1
@printf(io, "kb: %d\n", keyOffsets[j] )
printableIndexes = indexes[1:max]
if !isnull(correctRoundKeymaterial)
correctKbOffset = findfirst(x -> x == (get(correctRoundKeymaterial)[keyOffsets[j]] + 1), indexes)
if correctKbOffset > max
printableIndexes = [ indexes[1:max-1] ; get(correctRoundKeymaterial)[keyOffsets[j]] + 1]
end
end
# print top 5 peaks
# for known key scenario: print top 5 if it includes the correct key byte, top 4 and the correct key byte otherwise
for i in printableIndexes
cand = i - 1
peak = corrvalsPerCand[i]
rank = findfirst(x -> x == i, indexes)
if !isnull(correctRoundKeymaterial) && cand == get(correctRoundKeymaterial)[keyOffsets[j]]
pretty = "correct "
else
pretty = "candidate"
end
if nrLeakageFunctions == 1
sample = scoresAndOffsets[1][2][i,j]
@printf(io, "rank: %3d, %s: 0x%02x, peak: %f @ %d\n", rank, pretty, cand, peak, sample)
else
@printf(io, "rank: %3d, %s: 0x%02x, %s of peaks: %f\n", rank, pretty, cand, string(leakageFunctionsCombinator), peak)
if printsubs
# print the max peak for each leakage function
for l in 1:nrLeakageFunctions
(lscores, loffsets) = scoresAndOffsets[l]
sample = loffsets[i,j]
@printf(io, " %0.2f @ %d\n", lscores[i,j], sample)
end
end
end
end
end
@printf(io, "recovered key material: %s\n", bytes2hex(winners))
end