FProbPeriod 3.67 INPUT -------------------- output after each outCto30 2 [1,30] 10 BEGIN DEFINITIONS //The point is that this map is not closing. //The map poly below is the composition of the maps B and B1. //All three maps poly, B#Brev and Brev#B give identical //output on a check through shift period K=8. //B is left permutative, not right closing; //Brev is right permutative, not left closing; //a composition of B and B1 will be neither left not right closing; //all three maps have degree 1. OPT B = x[0] + x[1]*x[2] OPT Brev = x[0]*x[1] + x[2] // this attempt gave "segmentation fault" C = B#Brev //OPT poly = x[0]*x[1]+x[0]*x[2]*x[3]+x[1]*x[2]+x[1]*x[2]*x[3]+x[2]+x[3]*x[4] BEGIN COMMANDS B#Brev -------------------- COMMAND: B#Brev WITH DEFINITIONS: OPT B = x[0]+x[1]*x[2] OPT Brev = x[0]*x[1]+x[2] PERIOD K (NOT LEAST) K (AvgPd)^(1/K) (MaxPd)^(1/K) (AvgPrepd)^(1/K) (MaxPrepd)^(1/K) 1 1.0000 1.0000 0.4000 1.0000 2 1.0000 1.0000 0.4472 1.0000 3 1.1696 1.4422 0.8434 1.0000 4 1.1419 1.1892 0.5623 1.0000 5 1.5378 1.7188 0.0000 0.0000 6 1.1029 1.2009 0.9826 1.2009 7 1.6421 1.6618 1.0382 1.2190 8 1.4782 1.6387 0.9381 1.1472 9 1.2765 1.2765 1.0801 1.2203 10 1.3195 1.4929 1.2443 1.3275 11 1.3360 1.5701 1.0375 1.1576 12 1.0344 1.1610 1.2764 1.3448 13 1.4802 1.6380 1.2365 1.2886 14 1.4283 1.5129 1.2694 1.3895 15 1.4865 1.5060 1.2840 1.3584 16 1.5046 1.5097 1.3148 1.3749 17 1.6087 1.6803 1.2468 1.3096 18 1.5874 1.5874 1.3178 1.3926 19 1.5746 1.6007 1.3039 1.3586 20 1.4503 1.5420 1.3451 1.3877 21 1.4845 1.4845 1.3693 1.4171 22 1.4403 1.5175 1.3136 1.3599 23 1.5582 1.5750 1.3746 1.4059 24 1.4984 1.5467 1.3521 1.3907 25 1.4491 1.4875 1.4002 1.4332 26 1.5691 1.5691 1.3848 1.4377 27 1.5356 1.5434 1.3760 1.4191 28 1.2712 1.2904 1.4002 1.4222 29 1.5406 1.5406 1.3972 1.4397 30 1.5798 1.5962 1.3524 1.3887 K AvgPd MaxPd AvgPrepd MaxPrepd 1 1.00 1.00 0.40 1.00 2 1.00 1.00 0.20 1.00 3 1.60 3.00 0.60 1.00 4 1.70 2.00 0.10 1.00 5 8.60 15.00 0.00 0.00 6 1.80 3.00 0.90 3.00 7 32.20 35.00 1.30 4.00 8 22.80 52.00 0.60 3.00 9 9.00 9.00 2.00 6.00 10 16.00 55.00 8.90 17.00 11 24.20 143.00 1.50 5.00 12 1.50 6.00 18.70 35.00 13 163.80 611.00 15.80 27.00 14 147.00 329.00 28.20 100.00 15 382.20 465.00 42.50 99.00 16 689.60 728.00 79.80 163.00 17 3236.80 6783.00 42.50 98.00 18 4095.00 4095.00 143.60 388.00 19 5574.60 7619.00 154.80 338.00 20 1695.00 5780.00 375.70 701.00 21 4011.00 4011.00 734.90 1511.00 22 3061.60 9658.00 403.60 865.00 23 26949.10 34477.00 1506.70 2530.00 24 16408.20 35160.00 1393.30 2738.00 25 10647.00 20475.00 4519.90 8083.00 26 122213.00 122213.00 4741.20 12569.00 27 106955.10 122661.00 5533.10 12715.00 28 828.00 1260.00 12391.10 19176.00 29 277298.00 277298.00 16321.90 38875.00 30 907732.50 1237965.00 8568.70 18974.00 K Period Mult(#points) 1 1 10 2 1 10 3 1 7 3 3 4 1 3 2 7 5 1 1 5 5 15 4 6 1 6 3 4 7 7 1 35 9 8 2 2 4 4 52 4 9 9 10 10 5 3 15 6 55 1 11 11 9 143 1 12 1 9 6 1 13 52 8 611 2 14 35 2 49 1 91 4 329 3 15 15 1 87 1 465 8 16 680 8 728 2 17 1717 7 6783 3 18 4095 10 19 2755 4 7125 2 7619 4 20 10 1 1395 8 5780 1 21 4011 10 22 11 1 308 1 878 4 5709 3 9658 1 23 9384 3 34477 7 24 1 2 11720 5 35160 3 25 4095 6 20475 4 26 122213 10 27 19710 1 113643 6 122661 3 28 180 4 1260 6 29 277298 10 30 137190 3 1237965 7