protected override async Task <byte[][]> ReceiveMaskedOptionsAsync(BitArray selectionIndices, BitMatrix tTransposed, int numberOfInvocations, int numberOfMessageBytes)
{
Debug.Assert(selectionIndices.Length == numberOfInvocations);
Debug.Assert(tTransposed.Rows == SecurityParameter);
Debug.Assert(tTransposed.Cols == numberOfInvocations);
// retrieve the masked options from the sender and unmask the one indicated by the
// corresponding selection indices
byte[][][] maskedOptions = await CommunicationTools.ReadOptionsAsync(Channel, 1, numberOfInvocations, numberOfMessageBytes);
Debug.Assert(maskedOptions.Length == numberOfInvocations);
byte[][] results = new byte[numberOfInvocations][];
Parallel.For(0, numberOfInvocations, i =>
{
Debug.Assert(maskedOptions[i].Length == 1);
Debug.Assert(maskedOptions[i][0].Length == numberOfMessageBytes);
RandomOracle randomOracle = RandomOracleProvider.Create();
int s = Convert.ToInt32(selectionIndices[i].Value);
byte[] query = tTransposed.GetColumn((uint)i).ToBytes();
if (s == 0)
{
results[i] = randomOracle.Invoke(query).Take(numberOfMessageBytes).ToArray();
}
else
{
results[i] = randomOracle.Mask(maskedOptions[i][0], query);
}
});
return(results);
}
protected override async Task <byte[][]> ReceiveMaskedOptionsAsync(BitArray selectionIndices, BitMatrix tTransposed, int numberOfInvocations, int numberOfMessageBytes)
{
Debug.Assert(selectionIndices.Length == numberOfInvocations);
Debug.Assert(tTransposed.Rows == SecurityParameter);
Debug.Assert(tTransposed.Cols == numberOfInvocations);
// note(lumip): could precompute the masks for the response to have only cheap Xor after
// waiting for the message, but not sure if it really is a significant performance issue
// retrieve the masked options from the sender and unmask the one indicated by the
// corresponding selection indices
byte[][][] maskedOptions = await CommunicationTools.ReadOptionsAsync(Channel, 2, numberOfInvocations, numberOfMessageBytes);
Debug.Assert(maskedOptions.Length == numberOfInvocations);
byte[][] results = new byte[numberOfInvocations][];
Parallel.For(0, numberOfInvocations, i =>
{
int s = Convert.ToInt32(selectionIndices[i].Value);
Debug.Assert(maskedOptions[i][s].Length == numberOfMessageBytes);
byte[] query = tTransposed.GetColumn((uint)i).ToBytes();
results[i] = RandomOracleProvider.Create().Mask(maskedOptions[i][s], query);
});
return(results);
}
public async Task <byte[][]> ReceiveAsync(BitArray selectionIndices, int numberOfInvocations, int numberOfMessageBytes)
{
if (selectionIndices.Length != numberOfInvocations)
{
throw new ArgumentException("Amount of selection indices must match the specified number of invocations.", nameof(selectionIndices));
}
if (_receiverState.SeededRandomOracles == null)
{
await ExecuteReceiverBaseOTAsync();
}
// note(lumip): we need a random bit matrix t as per the construction
// of Ishai et al. and we use the trick of Asharov et al. and populate it with the random
// expansion of the base OT seeds, i.e., t_k = H(seed_0). Since these are calculated later,
// we only set up the matrix structure here.
BitMatrix tTransposed = new BitMatrix((uint)SecurityParameter, (uint)numberOfInvocations);
// "perform" _securityParams many 1-out-of-2 OTs with numberOfInvocations bits message length
// by extending the _securityParams many 1-out-of-2 OTs with _securityParams bits message length
// (using the seeded random oracles)
// the purpose of these OTs is to offer to the _sender_ either a column of t or the column xor'ed with
// the selection bits of the receiver
// todo(lumip): should try-catch in case random oracle runs out
// and ideally performs new base OTs and repeat
int numberOfRandomBytes = BitArray.RequiredBytes(numberOfInvocations);
byte[][][] sendBuffer = new byte[SecurityParameter][][];
Parallel.For(0, SecurityParameter, k =>
{
BitArray tColumn = BitArray.FromBytes(
_receiverState.SeededRandomOracles[k][0].Take(numberOfRandomBytes).ToArray(),
numberOfInvocations
);
tTransposed.SetRow((uint)k, tColumn);
BitArray mask = BitArray.FromBytes(
_receiverState.SeededRandomOracles[k][1].Take(numberOfRandomBytes).ToArray(),
numberOfInvocations
);
BitArray maskedSecondOption = tColumn ^ mask ^ selectionIndices;
sendBuffer[k] = new byte[1][] { maskedSecondOption.ToBytes() };
});
await CommunicationTools.WriteOptionsAsync(Channel, sendBuffer, 1, SecurityParameter, numberOfRandomBytes);
return(await ReceiveMaskedOptionsAsync(selectionIndices, tTransposed, numberOfInvocations, numberOfMessageBytes));
}
public async Task <Pair <byte[]>[]> SendAsync(byte[][] correlationStrings, int numberOfInvocations, int numberOfMessageBytes)
{
if (correlationStrings.Length != numberOfInvocations)
{
throw new ArgumentException("Amount of provided correlation strings must match the specified number of invocations.", nameof(correlationStrings));
}
foreach (byte[] message in correlationStrings)
{
if (message.Length != numberOfMessageBytes)
{
throw new ArgumentException("The length of of at least one correlation string does not match the specified message length.", nameof(correlationStrings));
}
}
BitMatrix q = await ReceiveQMatrix(numberOfInvocations);
Debug.Assert(q.Rows == numberOfInvocations);
Debug.Assert(q.Cols == SecurityParameter);
Pair <byte[]>[] options = new Pair <byte[]> [numberOfInvocations];
byte[][][] maskedOptions = new byte[numberOfInvocations][][];
Parallel.For(0, numberOfInvocations, i =>
{
Debug.Assert(correlationStrings[i].Length == numberOfMessageBytes);
RandomOracle randomOracle = RandomOracleProvider.Create();
options[i] = new Pair <byte[]>();
BitArray qRow = q.GetRow((uint)i);
byte[] query = qRow.ToBytes();
options[i][0] = randomOracle.Invoke(query).Take(numberOfMessageBytes).ToArray();
options[i][1] = ByteBuffer.Xor(correlationStrings[i], options[i][0]);
query = (qRow ^ SenderChoices).ToBytes();
maskedOptions[i] = new[] { randomOracle.Mask(options[i][1], query) };
Debug.Assert(maskedOptions[i][0].Length == numberOfMessageBytes);
});
await CommunicationTools.WriteOptionsAsync(Channel, maskedOptions, 1, numberOfInvocations, numberOfMessageBytes);
return(options);
}
/// <summary>
/// Receives and returns the matrix Q as specified in the OT extension protocol of Ishai et al.
///
/// This is involves the preprocessing (expanding the base OTs for the number of invocations, etc..)
/// for all variants of the OT extension. This method should be called is the first step by
/// subclasses implementing the OT extension variants.
/// </summary>
/// <param name="numberOfInvocations">The number of invocations/instances of OT.</param>
/// <returns>The matrix Q of correlated randomness.</returns>
protected async Task <BitMatrix> ReceiveQMatrix(int numberOfInvocations)
{
if (_senderState.SeededRandomOracles == null)
{
await ExecuteSenderBaseOTAsync();
}
int numberOfRandomBytes = BitArray.RequiredBytes(numberOfInvocations);
BitMatrix q = new BitMatrix((uint)numberOfInvocations, (uint)SecurityParameter);
// note(lumip): could precompute the masks for the response to have only cheap Xor after
// waiting for the message, but not sure if it really is a significant performance issue
// todo(lumip): should try-catch in case random oracle runs out
// and ideally performs new base OTs and repeat
byte[][][] qOTResult = await CommunicationTools.ReadOptionsAsync(Channel, 1, SecurityParameter, numberOfRandomBytes);
Debug.Assert(qOTResult.Length == SecurityParameter);
PairIndexArray randomChoiceInts = _senderState.RandomChoices.ToPairIndexArray();
Parallel.For(0, SecurityParameter, k =>
{
Debug.Assert(qOTResult[k].Length == 1);
Debug.Assert(qOTResult[k][0].Length == numberOfRandomBytes);
BitArray mask = BitArray.FromBytes(
_senderState.SeededRandomOracles[k].Take(numberOfRandomBytes).ToArray(),
numberOfInvocations
);
int s = randomChoiceInts[k];
BitArray qColumn = mask;
if (s == 1)
{
qColumn.Xor(BitArray.FromBytes(qOTResult[k][0], numberOfInvocations));
}
q.SetColumn((uint)k, qColumn);
});
return(q);
}
public async Task SendAsync(Pair <byte[]>[] options, int numberOfInvocations, int numberOfMessageBytes)
{
if (options.Length != numberOfInvocations)
{
throw new ArgumentException("Amount of provided option pairs must match the specified number of invocations.", nameof(options));
}
for (int j = 0; j < options.Length; ++j)
{
foreach (byte[] message in options[j])
{
if (message.Length != numberOfMessageBytes)
{
throw new ArgumentException("The length of of at least one option does not match the specified message length.", nameof(options));
}
}
}
BitMatrix q = await ReceiveQMatrix(numberOfInvocations);
Debug.Assert(q.Rows == numberOfInvocations);
Debug.Assert(q.Cols == SecurityParameter);
byte[][][] maskedOptions = new byte[numberOfInvocations][][];
Parallel.For(0, numberOfInvocations, i =>
{
maskedOptions[i] = new byte[2][];
BitArray qRow = q.GetRow((uint)i);
for (int j = 0; j < 2; ++j)
{
Debug.Assert(options[i][j].Length == numberOfMessageBytes);
if (j == 1)
{
qRow.Xor(SenderChoices);
}
byte[] query = qRow.ToBytes();
maskedOptions[i][j] = RandomOracleProvider.Create().Mask(options[i][j], query);
}
});
await CommunicationTools.WriteOptionsAsync(Channel, maskedOptions, 2, numberOfInvocations, numberOfMessageBytes);
}
