M-Sequence Survey Prime: 2, Degree: 8, Field Order: 256 Minimal Polynomial: 1*x^8+0*x^7+0*x^6+0*x^5+1*x^4+1*x^3+1*x^2+0*x^1+1*x^0 Number of Inequivalent Decimations: 16 Truncating/Appending Ratio: 1.000000 Truncated/Appended Length: 255 Autocorrelation Bin Width: 0.002000 Crosscorrelation Bin Width: 0.005000 Manifest of Outputs: This summary file: f-2-to-8-summary.txt Autocorrelations histogram: f-2-to-8-auto.txt First Column: bin number N, for norm ratios in [N*0.002000,(N+1)*0.002000) Second Column: number of norm ratios falling bin number N Same Decimation Crosscorrelations histogram: f-2-to-8-cross-same.txt First Column: bin number N, for norm ratios in [N*0.005000,(N+1)*0.005000) Second Column: number of norm ratios falling bin number N Reversing Decimation Crosscorrelations histogram: f-2-to-8-cross-rev.txt First Column: bin number N, for norm ratios in [N*0.005000,(N+1)*0.005000) Second Column: number of norm ratios falling bin number N Other (not same, not reversing) Decimation Crosscorrelations histogram: f-2-to-8-cross-other.txt First Column: bin number N, for norm ratios in [N*0.005000,(N+1)*0.005000) Second Column: number of norm ratios falling bin number N Nontrivial (not same) Decimation Crosscorrelations histogram: f-2-to-8-cross-nontriv.txt First Column: bin number N, for norm ratios in [N*0.005000,(N+1)*0.005000) Second Column: number of norm ratios falling bin number N ============================== Autocorrelation ------------------------------ Low Autcorrelation Record: Sum of Squares 82791 Norm Ratio: 1.273218 Merit Factor: 3.660081 achieved for 3 sequences with (Decimation, Rotation): 37 169 37 169 91 87 ------------------------------ High Autcorrelation Record: Sum of Squares 91351 Norm Ratio: 1.404860 Merit Factor: 2.469992 achieved for 3 sequences with (Decimation, Rotation): 11 7 11 7 61 249 ============================== Same Decimation ------------------------------ Low Crossorrelation Record: Sum of Squares 50599 Norm Ratio: 0.778147 Merit Factor: 1.285104 achieved for 3 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 7 83 89271 1.372872 2.681886 7 201 90263 1.388128 2.576472 7 83 89271 1.372872 2.681886 7 201 90263 1.388128 2.576472 31 55 90263 1.388128 2.576472 31 173 89271 1.372872 2.681886 ------------------------------ High Crossorrelation Record: Sum of Squares 91351 Norm Ratio: 1.404860 Merit Factor: 0.711815 achieved for 3 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 11 7 91351 1.404860 2.469992 11 7 91351 1.404860 2.469992 11 7 91351 1.404860 2.469992 11 7 91351 1.404860 2.469992 61 249 91351 1.404860 2.469992 61 249 91351 1.404860 2.469992 ============================== Reverse Decimation ------------------------------ Low Crossorrelation Record: Sum of Squares 50599 Norm Ratio: 0.778147 Merit Factor: 1.285104 achieved for 3 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 7 83 89271 1.372872 2.681886 31 55 90263 1.388128 2.576472 7 83 89271 1.372872 2.681886 31 55 90263 1.388128 2.576472 7 201 90263 1.388128 2.576472 31 173 89271 1.372872 2.681886 ------------------------------ High Crossorrelation Record: Sum of Squares 91351 Norm Ratio: 1.404860 Merit Factor: 0.711815 achieved for 2 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 11 7 91351 1.404860 2.469992 61 249 91351 1.404860 2.469992 11 7 91351 1.404860 2.469992 61 249 91351 1.404860 2.469992 ============================== Other Decimations (i.e., neither same nor negative) ------------------------------ Low Crossorrelation Record: Sum of Squares 57167 Norm Ratio: 0.879154 Merit Factor: 1.137457 achieved for 5 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 1 53 85455 1.314187 3.182819 23 62 87087 1.339285 2.947376 1 53 85455 1.314187 3.182819 23 62 87087 1.339285 2.947376 1 53 85455 1.314187 3.182819 29 194 87087 1.339285 2.947376 23 62 87087 1.339285 2.947376 127 203 85455 1.314187 3.182819 29 194 87087 1.339285 2.947376 127 203 85455 1.314187 3.182819 ------------------------------ High Crossorrelation Record: Sum of Squares 74699 Norm Ratio: 1.148774 Merit Factor: 0.870494 achieved for 5 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 13 2 89335 1.373856 2.674825 23 2 88015 1.353556 2.828404 13 2 89335 1.373856 2.674825 23 2 88015 1.353556 2.828404 13 2 89335 1.373856 2.674825 29 254 88015 1.353556 2.828404 23 2 88015 1.353556 2.828404 47 254 89335 1.373856 2.674825 29 254 88015 1.353556 2.828404 47 254 89335 1.373856 2.674825 ============================== Nontrivial Decimations (i.e., not same) ------------------------------ Low Crossorrelation Record: Sum of Squares 50599 Norm Ratio: 0.778147 Merit Factor: 1.285104 achieved for 3 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 7 83 89271 1.372872 2.681886 31 55 90263 1.388128 2.576472 7 83 89271 1.372872 2.681886 31 55 90263 1.388128 2.576472 7 201 90263 1.388128 2.576472 31 173 89271 1.372872 2.681886 ------------------------------ High Crossorrelation Record: Sum of Squares 91351 Norm Ratio: 1.404860 Merit Factor: 0.711815 achieved for 2 sequences with (Decimation1, Rotation1,AutoSumSquares1,AutoNormRat1,AutoMeritFactor2,Decimation2,Rotation2,AutoSumSquares2,AutoNormRat2,AutoMeritFactor2): 11 7 91351 1.404860 2.469992 61 249 91351 1.404860 2.469992 11 7 91351 1.404860 2.469992 61 249 91351 1.404860 2.469992