DIEHARDER & NIST (STS) RANDOMNESS TESTS FOR GEIGER COUNTER DATA by Scotch Wichmann Website: http://www.psiresearch.net/ DIEHARDER RESULTS Website: https://webhome.phy.duke.edu/~rgb/General/dieharder.php #=============================================================================# # dieharder version 3.31.1 Copyright 2003 Robert G. Brown # #=============================================================================# rng_name 1 filename 1rands/second1 mt199371 /home/falcon/code/geig_xor1 1.45e+08 1 #=============================================================================# test_name 1ntup1 tsamples 1psamples1 p-value 1Assessment #=============================================================================# diehard_birthdays1 01 1001 10010.356431011 PASSED diehard_operm51 01 10000001 10010.614436861 PASSED diehard_rank_32x321 01 400001 10010.372099681 PASSED diehard_rank_6x81 01 1000001 10010.302761651 PASSED diehard_bitstream1 01 20971521 10010.081423311 PASSED diehard_opso1 01 20971521 10010.979742341 PASSED diehard_oqso1 01 20971521 10010.891613351 PASSED diehard_dna1 01 20971521 10010.034989291 PASSED diehard_count_1s_str1 01 2560001 10010.690131821 PASSED diehard_count_1s_byt1 01 2560001 10010.988715501 PASSED diehard_parking_lot1 01 120001 10010.881935711 PASSED diehard_2dsphere1 21 80001 10010.972896661 PASSED diehard_3dsphere1 31 40001 10010.911732261 PASSED diehard_squeeze1 01 1000001 10010.689162781 PASSED diehard_sums1 01 1001 10010.100115411 PASSED diehard_runs1 01 1000001 10010.271168781 PASSED diehard_runs1 01 1000001 10010.953554221 PASSED diehard_craps1 01 2000001 10010.165763791 PASSED diehard_craps1 01 2000001 10010.838935651 PASSED marsaglia_tsang_gcd1 01 100000001 10010.583147651 PASSED marsaglia_tsang_gcd1 01 100000001 10010.237745071 PASSED sts_monobit1 11 1000001 10010.980693961 PASSED sts_runs1 21 1000001 10010.660110871 PASSED NIST STS RESULTS Website: https://csrc.nist.gov/projects/random-bit-generation/documentation-and-software FREQUENCY ________________________________________________________________________________ FILE = geig_xor.txt ALPHA = 0.0100 ________________________________________________________________________________ BITSREAD = 10000 0s = 5006 1s = 4994 APPROXIMATE ENTROPY TEST -------------------------------------------- COMPUTATIONAL INFORMATION: -------------------------------------------- (a) m (block length) = 8 (b) n (sequence length) = 10000 (c) Chi^2 = 286.207258 (d) Phi(m) = -5.529102 (e) Phi(m+1) = -6.207939 (f) ApEn = 0.678837 (g) Log(2) = 0.693147 -------------------------------------------- SUCCESS p_value = 0.094254 BLOCK FREQUENCY TEST --------------------------------------------- COMPUTATIONAL INFORMATION: --------------------------------------------- (a) Chi^2 = 82.281250 (b) # of substrings = 78 (c) block length = 128 (d) Note: 16 bits were discarded. --------------------------------------------- SUCCESS p_value = 0.348318 CUMULATIVE SUMS (FORWARD) TEST ------------------------------------------- COMPUTATIONAL INFORMATION: ------------------------------------------- (a) The maximum partial sum = 131 ------------------------------------------- SUCCESS p_value = 0.380222 CUMULATIVE SUMS (REVERSE) TEST ------------------------------------------- COMPUTATIONAL INFORMATION: ------------------------------------------- (a) The maximum partial sum = 119 ------------------------------------------- SUCCESS p_value = 0.467379 FFT TEST ------------------------------------------- COMPUTATIONAL INFORMATION: ------------------------------------------- (a) Percentile = 95.160000 (b) N_l = 4758.000000 (c) N_o = 4750.000000 (d) d = 0.734130 ------------------------------------------- SUCCESS p_value = 0.462869 FREQUENCY TEST --------------------------------------------- COMPUTATIONAL INFORMATION: --------------------------------------------- (a) The nth partial sum = -12 (b) S_n/n = -0.001200 --------------------------------------------- SUCCESS p_value = 0.904483 LONGEST RUNS OF ONES TEST --------------------------------------------- COMPUTATIONAL INFORMATION: --------------------------------------------- (a) N (# of substrings) = 78 (b) M (Substring Length) = 128 (c) Chi^2 = 3.500905 --------------------------------------------- F R E Q U E N C Y --------------------------------------------- <=4 5 6 7 8 >=9 P-value Assignment 13 19 22 10 6 8 SUCCESS p_value = 0.623251 RANK TEST --------------------------------------------- COMPUTATIONAL INFORMATION: --------------------------------------------- (a) Probability P_32 = 0.288788 (b) P_31 = 0.577576 (c) P_30 = 0.133636 (d) Frequency F_32 = 4 (e) F_31 = 3 (f) F_30 = 2 (g) # of matrices = 9 (h) Chi^2 = 2.213158 (i) NOTE: 784 BITS WERE DISCARDED. --------------------------------------------- SUCCESS p_value = 0.330688 RUNS TEST ------------------------------------------ COMPUTATIONAL INFORMATION: ------------------------------------------ (a) Pi = 0.499400 (b) V_n_obs (Total # of runs) = 5044 (c) V_n_obs - 2 n pi (1-pi) ----------------------- = 0.622357 2 sqrt(2n) pi (1-pi) ------------------------------------------ SUCCESS p_value = 0.378781 SERIAL TEST --------------------------------------------- COMPUTATIONAL INFORMATION: --------------------------------------------- (a) Block length (m) = 16 (b) Sequence length (n) = 10000 (c) Psi_m = 66768.870400 (d) Psi_m-1 = 33620.761600 (e) Psi_m-2 = 16866.483200 (f) Del_1 = 33148.108800 (g) Del_2 = 16393.830400 --------------------------------------------- SUCCESS p_value1 = 0.069210 SUCCESS p_value2 = 0.476883