Cryptographic Protocol on a PICO

myhash1.js
Uses permutations, oneway, and random functions.
var MH=new Myhash(1,1,0,0,0). Try varying the numbers. First 4 can be 0 or 1.
5th number can be 0,1,2 and changes the oneway function operator.
// aes1 0= encrypt, 1=decrypt
// aes2 0= encrypt, 1=decrypt
// pdir1 permutation direction 0 or 1
// pdir2 permutation direction 0 or 1
// owtype 0= add, 1= xor, 2=multiply

//myhash1.js
//a permutation class
function Perm(n){
 this.N=n;
 this.C=new Uint8Array(n);
}

Perm.prototype.swap=function(i,j){
 var a=0;
 a=this.C[i];
 this.C[i]=this.C[j];
 this.C[j]=a;
};//end swap

//Initialize a random permutation
Perm.prototype.createPerm=function(){
  var i,j;
  var k=this.N;
  E.srand(E.hwRand());
  for(j=0;j<this.N;j++)this.C[j]=j;
  for(i=0;i<(this.N-1);i++){
   j=parseInt((Math.random()*256)%k,10);
   this.swap(i,i+j);
   k--;
  }//next i
};//end createPerm

//Use permutation to relocate bits in E to D
//dir determines the indirection direction
Perm.prototype.doPerm=function(dir,D,E){­
 var i,j,k,m;
 for(i=0;i<this.N/8;i++)D[i]=0;
 for(i=0;i<this.N;i++){
  j=this.C[i];
  k=i%8;
  m=j%8;
  var a=1;
  var b=1;
  a=1<<k;
  b=1<<m;
  if(dir){
   if(E[(i-k)/8]&a) D[(j-m)/8]=D[(j-m)/8]|b;
  }else{
   if(E[(j-m)/8]&b) D[(i-k)/8]=D[(i-k)/8]|a;
  }//end else
 }//next i
};//end doPerm

//Use permutation of length N in E to relocate bytes in C to D
Perm.prototype.doPermBytes=function(dir,­E,C){
 var i,j,k,m;
 for(i=0;i<this.N;i++)D[i]=0;
 for(i=0;i<this.N;i++){
  j=this.C[i];
  if(dir){
   D[i]=E[j];
  }else{
   D[j]=E[i];
  }//end else
 }//next i
};//end doPermBytes
///////////////////////////

//a oneway class

function Oneway(){
 this.A=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]­;
}

Oneway.prototype.oneway1=function(mode,A­,B,C,D,E){
  switch(mode){
    case 0:
     return A+B+C+D+E;
    case 1:
     return A^B^C^D^E;
    case 2:
     return A*B*C*D*E;
  }//end switch
};//end oneway1

Oneway.prototype.modit=function(A){
 for(var i=0;i<16;i++)A[i]=this.A[i]%256;
};//end modit

Oneway.prototype.fillit=function(b){
 for(var i=0;i<16;i++)this.A[i]=b;
};//end fillit

Oneway.prototype.oneway=function(mode,B)­{
  var oneway1=this.oneway1;
//rows
 this.A[0]=oneway1(mode,this.A[0],B[0],B[­1],B[2],B[3]);
 this.A[1]=oneway1(mode,this.A[1],B[4],B[­5],B[6],B[7]);
 this.A[2]=oneway1(mode,this.A[2],B[8],B[­9],B[10],B[11]);
 this.A[3]=oneway1(mode,this.A[3],B[12],B­[13],B[14],B[15]);
//columns
 this.A[4]=oneway1(mode,this.A[4],B[0],B[­4],B[8],B[12]);
 this.A[5]=oneway1(mode,this.A[5],B[1],B[­5],B[9],B[13]);
 this.A[6]=oneway1(mode,this.A[6],B[2],B[­6],B[10],B[14]);
 this.A[7]=oneway1(mode,this.A[7],B[3],B[­7],B[11],B[15]);
//diagonals\
 this.A[8]=oneway1(mode,this.A[8],B[0],B[­5],B[10],B[15]);
 this.A[9]=oneway1(mode,this.A[9],B[1],B[­6],B[11],B[12]);
 this.A[10]=oneway1(mode,this.A[10],B[2],­B[7],B[8],B[13]);
 this.A[11]=oneway1(mode,this.A[11],B[3],­B[4],B[9],B[14]);
//diagonals/
 this.A[12]=oneway1(mode,this.A[12],B[3],­B[6],B[9],B[12]);
 this.A[13]=oneway1(mode,this.A[13],B[0],­B[7],B[10],B[13]);
 this.A[14]=oneway1(mode,this.A[14],B[1],­B[4],B[11],B[14]);
 this.A[15]=oneway1(mode,this.A[15],B[2],­B[5],B[8],B[15]);
};//end oneway

// Random object
// aes1 0= encrypt, 1=decrypt
// aes2 0= encrypt, 1=decrypt
// pdir1 permutation direction 0 or 1
// pdir2 permutation direction 0 or 1
// owtype 0= add, 1= xor, 2=multiply
function Random(aes1,aes2,pdir1,pdir2,owtype){
 this.AES1=aes1;
 this.AES2=aes2;
 this.Pdir1=pdir1;
 this.Pdir2=pdir2;
 this.Owtype=owtype;

 this.ow=new Oneway();
 this.plain=new Uint8Array(16);
 this.R=new ArrayBuffer(16);
 this.perm1=new Perm(128);
 this.key1=new Uint8Array(16);
 this.perm2=new Perm(128);
 this.key2=new Uint8Array(16);
}

Random.prototype.random=function(){
var tt=Date.now()*1000000;
for(var i=0;i<16;i++){
 if(i===8)tt=Date.now()*1000000;
 this.R[i]=tt%256;
 tt=tt-this.R[i];
 tt=tt/256;
}//nexti
E.srand(E.hwRand());
this.R[0]=(Math.random()*256)%256;
this.R[8]=(Math.random()*256)%256;
this.R[15]=(Math.random()*256)%256;
//  printit(R);
this.perm1.doPerm(this.Pdir1,this.plain,­this.R);
//printit(plain);
if(this.AES1){this.R=AES.encrypt(this.pl­ain,this.key1);
 }else{
 this.R=AES.decrypt(this.plain,this.key1)­;
}
//printit(this.R);

this.ow.fillit(1);
this.ow.oneway(this.Owtype,this.R);
this.ow.modit(this.R);
//printit(this.R);

this.perm2.doPerm(this.Pdir2,this.plain,­this.R);
//printit(plain);
if(this.AES2){this.R=AES.encrypt(this.pl­ain,this.key2);
 }else{
 this.R=AES.decrypt(this.plain,this.key2)­;
}
//printit(this.R);
 return this.R;
};//end random

Random.prototype.setup_random=function()­{
 for(var i=0;i<16;i++){
  E.srand(E.hwRand());
  this.key1[i]=parseInt((Math.random()*256­),10);
  E.srand(E.hwRand());
  this.key2[i]=parseInt((Math.random()*256­),10);
 }//nexti

 this.perm1.createPerm();
 this.perm2.createPerm();

};
///////////////////////////////
//Myhash object
// aes1 0= encrypt, 1=decrypt
// aes2 0= encrypt, 1=decrypt
// pdir1 permutation direction 0 or 1
// pdir2 permutation direction 0 or 1
// owtype 0= add, 1= xor, 2=multiply
function Myhash(aes1,aes2,pdir1,pdir2,owtype){
 this.AES1=aes1;
 this.AES2=aes2;
 this.Pdir1=pdir1;
 this.Pdir2=pdir2;
 this.Owtype=owtype;

 this.ow=new Oneway();
 this.plain=new Uint8Array(16);
 this.plain1=new Uint8Array(16);
 this.R=new ArrayBuffer(16);
 this.perm1=new Perm(128);
 this.key1=new Uint8Array(16);
 this.perm2=new Perm(128);
 this.key2=new Uint8Array(16);
}

Myhash.prototype.myhash=function(R,flag)­{
 var i;
this.perm1.doPerm(this.Pdir1,this.plain,­R);
if(this.AES1){this.R=AES.encrypt(this.pl­ain,this.key1);
 }else{
 this.R=AES.decrypt(this.plain,this.key1)­;
}
  if(flag){
    this.ow.fillit(1);
    for(i=0;i<16;i++)this.plain1[i]=0;
  }
this.ow.oneway(this.Owtype,this.R);
this.ow.modit(this.R);

this.perm2.doPerm(this.Pdir2,this.plain,­this.R);
if(this.AES2){this.R=AES.encrypt(this.pl­ain,this.key2);
 }else{
 this.R=AES.decrypt(this.plain,this.key2)­;
}
 for(i=0;i<16;i++)this.R[i]=this.R[i]^ this.plain1[i];
  copy(this.plain1,this.R);
 return this.R;
};//end random

Myhash.prototype.setup_myhash=function(R­){
  this.key1=R.random();
  this.key2=R.random();
console.log("Hash keys");
 printit(this.key1);
 printit(this.key2);

 this.perm1.createPerm();
 this.perm2.createPerm();

};
///////////////////////////////
function printit(W){
console.log(W[0]+','+W[1]+','+W[2]+','+W­[3]+','+
            W[4]+','+W[5]+','+W[6]+','+W[7]+','+
            W[8]+','+W[9]+','+W[10]+','+W[11]+','+
            W[12]+','+W[13]+','+W[14]+','+W[15]
           );
}//end printit

function copy(A,B){for(var i=0;i<16;i++)A[i]=B[i];}

function compare(A,B){
 for(var i=0;i<16;i++)if(A[i]!=B[i])return 0;
 return 1;
}
///////////////////////////////
// Random object
// aes1 0= encrypt, 1=decrypt
// aes2 0= encrypt, 1=decrypt
// pdir1 permutation direction 0 or 1
// pdir2 permutation direction 0 or 1
// owtype 0= add, 1= xor, 2=multiply
//function Random(aes1,aes2,pdir1,pdir2,owtype){
var R=new Random(1,1,0,0,0);
R.setup_random();
console.log("keys");
 printit(R.key1);
 printit(R.key2);
 console.log("Enter go(); into left screen, press enter");

function go(){
  R.key1=R.random();
  R.key2=R.random();
  R.key1=R.random();
  R.key2=R.random();
console.log("Randomkeys");
 printit(R.key1);
 printit(R.key2);
///////////////////////////////
// Myhash object
// aes1 0= encrypt, 1=decrypt
// aes2 0= encrypt, 1=decrypt
// pdir1 permutation direction 0 or 1
// pdir2 permutation direction 0 or 1
// owtype 0= add, 1= xor, 2=multiply
var MH=new Myhash(1,1,0,0,0);
MH.setup_myhash(R);
console.log("Myhashes");
C=new Uint8Array(16);
D=new Uint8Array(16);
C1=new Uint8Array(16);
D1=new Uint8Array(16);
for(var j=0;j<4;j++){
  C=R.random(); //fisrt block to hash
  C1=R.random();//second block to hash
  D=MH.myhash(C,1);//initializes hash
  D1=MH.myhash(C1,0);//adds to hash
 console.log(j+" plaintext");
 printit(C);
 printit(C1);
 console.log(j+" hash(PT1), hash(PT1&PT2)");
 printit(D);
 printit(D1);
}
}//end go

The output:

>echo(0);
keys
86,241,83,165,231,187,118,151,10,24,224,­247,5,155,169,173
98,173,140,6,192,202,181,73,5,180,107,39­,255,128,101,152
Enter go(); into left screen, press enter
=undefined
>go();
Randomkeys
42,27,58,194,230,236,105,20,255,239,187,­194,230,236,105,131
35,107,93,130,7,198,150,121,118,23,83,14­3,243,104,133,129
Hash keys
3,173,75,244,230,236,105,20,199,51,208,2­44,230,236,105,108
78,11,5,145,114,186,64,56,35,74,240,253,­216,142,195,239
Myhashes
0 plaintext
94,233,45,61,231,236,105,20,129,249,178,­61,231,236,105,254
221,170,249,50,122,205,13,201,183,162,16­1,143,108,90,139,132
0 hash(PT1), hash(PT1&PT2)
71,76,23,135,37,184,17,104,9,201,154,228­,75,139,43,70
210,79,102,138,26,8,203,47,131,217,136,2­8,223,42,118,1
1 plaintext
77,121,156,159,231,236,105,20,127,138,34­,160,231,236,105,29
60,154,90,164,13,40,94,68,30,61,8,23,20,­20,250,142
1 hash(PT1), hash(PT1&PT2)
187,159,41,38,232,148,215,100,160,137,11­0,238,132,225,187,30
131,47,12,173,43,34,244,214,196,202,243,­66,152,44,80,24
2 plaintext
118,53,38,1,232,236,105,20,117,90,163,1,­232,236,105,210
100,3,81,31,17,127,119,23,221,106,166,29­,214,11,65,159
2 hash(PT1), hash(PT1&PT2)
229,120,199,141,209,44,28,26,243,118,209­,239,21,203,233,121
106,110,17,4,66,253,193,144,149,44,178,1­08,5,152,222,13
3 plaintext
100,248,143,98,232,236,105,20,100,178,16­,99,232,236,105,58
234,172,140,20,0,12,253,183,231,119,12,2­18,29,75,127,80
3 hash(PT1), hash(PT1&PT2)
48,226,109,106,2,245,197,206,251,241,239­,74,211,245,123,138
155,135,118,138,242,147,191,120,240,157,­133,162,141,219,83,151

1 Attachment

• myhash1.js