Table 5 Homo sapiens genome: Results (in bytes) for compressing chromosome U via decomposition, i.e. compressing the payload (ρ) into C ρ and compressing the character-case bitstring α into C α
From: A new algorithm for “the LCS problem” with application in compressing genome resequencing data
U | |U| | Our Scheme | GRS | GReEn | ||||
|---|---|---|---|---|---|---|---|---|
|C ρ| | \(|\mathbb {L}(C^{\rho })|\) | |C α| | \(|\mathbb {L}(C^{\alpha })|\) | \(|\mathbb {L}(C^{\rho })|+|\mathbb {L}(C^{\alpha })|\) | [20] | [21] | ||
1 | 247 249 719 | 381 577 | 161 319 | 755 092 | 447 919 | 609 238 | 1 336 626 | 1 225 767 |
2 | 242 951 149 | 356 526 | 153 805 | 756 823 | 452 338 | 606 143 | 1 354 059 | 1 272 105 |
3 | 199 501 827 | 284 096 | 119 348 | 553 835 | 343 213 | 462 561 | 1 011 124 | 971 527 |
4 | 191 273 063 | 330 381 | 137 301 | 619 981 | 383 882 | 521 183 | 1 139 225 | 1 074 357 |
5 | 180 857 866 | 259 922 | 109 768 | 550 876 | 331 063 | 440 831 | 988 070 | 947 378 |
6 | 170 899 992 | 265 222 | 110 544 | 508 662 | 310 029 | 420 573 | 906 116 | 865 448 |
7 | 158 821 424 | 292 797 | 121 289 | 611 475 | 355 616 | 476 905 | 1 096 646 | 998 482 |
8 | 146 274 826 | 222 972 | 93 378 | 434 420 | 261 455 | 354 833 | 764 313 | 729 362 |
9 | 140 273 252 | 309 512 | 132 957 | 493 024 | 276 468 | 409 425 | 864 222 | 773 716 |
10 | 135 374 737 | 245 264 | 103 115 | 436 272 | 257 895 | 361 010 | 768 364 | 717 305 |
11 | 134 452 384 | 222 735 | 92 471 | 423 687 | 254 637 | 347 108 | 755 708 | 716 301 |
12 | 132 349 534 | 214 123 | 88 447 | 393 764 | 239 811 | 328 258 | 702 040 | 668 455 |
13 | 114 142 980 | 148 938 | 62 730 | 301 116 | 183 038 | 245 768 | 520 598 | 490 888 |
14 | 106 368 585 | 141 128 | 57 354 | 286 839 | 170 916 | 228 270 | 484 791 | 451 018 |
15 | 100 338 915 | 138 219 | 58 777 | 302 957 | 173 600 | 232 377 | 496 215 | 453 301 |
16 | 88 827 254 | 151 606 | 62 779 | 346 282 | 191 190 | 253 969 | 567 989 | 510 254 |
17 | 78 774 742 | 136 168 | 57 030 | 301 837 | 171 680 | 228 710 | 505 979 | 464 324 |
18 | 76 117 153 | 113 469 | 47 122 | 241 437 | 140 909 | 188 031 | 408 529 | 378 420 |
19 | 63 811 651 | 130 468 | 53 531 | 230 673 | 134 701 | 188 232 | 399 807 | 369 388 |
20 | 62 435 964 | 94 273 | 38 689 | 169 584 | 99 796 | 138 485 | 282 628 | 266 562 |
21 | 46 944 323 | 71 121 | 28 744 | 141 387 | 79 835 | 108 579 | 226 549 | 203 036 |
22 | 49 691 432 | 81 329 | 33 663 | 164 026 | 89 961 | 123 624 | 262 443 | 230 049 |
X | 154 913 754 | 523 282 | 196 868 | 1 533 249 | 875 026 | 1 071 894 | 3 231 776 | 2 712 153 |
Y | 57 772 954 | 152 464 | 57 002 | 300 287 | 153 582 | 210 584 | 592 791 | 481 307 |
M | 16 571 | 64 | 64(*) | 49 | 49(*) | 113 | 183 | 127 |
Sum | 3 080 436 051 | 5 267 656 | 2 178 095 | 10 857 634 | 6 378 609 | 8 556 704 | 19 666 791 | 17 971 030 |