Best Known (36, s)-Sequences in Base 25
(36, 207)-Sequence over F25 — Constructive and digital
Digital (36, 207)-sequence over F25, using
- t-expansion [i] based on digital (35, 207)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 35 and N(F) ≥ 208, using
(36, 915)-Sequence in Base 25 — Upper bound on s
There is no (36, 916)-sequence in base 25, because
- net from sequence [i] would yield (36, m, 917)-net in base 25 for arbitrarily large m, but
- m-reduction [i] would yield (36, 1831, 917)-net in base 25, but
- extracting embedded OOA [i] would yield OOA(251831, 917, S25, 2, 1795), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2 442438 984164 223289 986399 322413 536444 266815 563370 107003 468497 848054 406750 524435 300298 427825 702453 029581 983533 704304 123600 057224 323390 589524 193181 281884 955556 826098 444185 719577 682105 291113 436796 871937 480422 550178 422615 515691 728949 340787 163813 864387 664435 495038 375716 213238 416370 775854 108737 720227 767277 968471 613548 935159 832369 003818 202224 115007 312584 491641 961156 021042 139000 753205 011524 994189 887709 432892 980847 038889 775367 203592 633942 705552 232240 860375 835509 505995 978701 030700 512195 235553 326503 192137 155827 157302 188020 656678 408321 680473 224027 158181 214754 682821 298297 244840 764241 164167 634193 628235 717256 198045 207489 500167 971099 710636 700240 256951 686776 315738 431618 543631 848562 194258 862698 800214 981651 133558 552646 628332 711588 710867 916496 852651 627766 165602 094702 892918 984783 666748 013486 994122 020387 131911 560694 741698 998177 529732 317751 600376 903622 341896 209820 577125 491818 522519 101433 944158 017109 653917 632395 297625 188853 752186 421782 641720 655632 949650 239364 260357 286830 014234 719097 804473 568708 390298 687759 898257 908501 208300 603478 351180 116535 749494 073132 620478 277377 245702 485145 649397 250758 287056 380009 824139 148179 810913 594048 368834 742191 689614 441157 662895 223357 900150 294789 390841 792051 097677 762514 903375 099638 790029 081773 211500 244645 213200 429624 999021 977741 581479 403734 131182 444285 756885 396722 180912 868165 969130 301459 564957 367104 428190 340133 620478 170857 111585 980533 509570 456868 338261 919395 687902 505844 314134 037599 712594 069848 739780 075751 330364 400782 720157 686675 770199 589006 049616 846231 702574 511456 674601 236715 653348 420580 294207 394943 011368 338519 073418 123606 954005 902626 076273 519584 744174 755261 412120 694203 018817 005459 901744 458648 701658 301229 396852 081550 055635 804314 512257 889382 454368 175928 919539 204856 836169 487665 022346 312571 758234 404068 990114 878640 818991 917694 846634 458645 917467 995302 038450 447403 821358 048424 210659 343638 956061 735247 698634 208206 762180 424232 566443 637272 945564 850829 653163 228089 212154 103475 534602 710736 361381 899835 851460 554090 145994 495898 193832 063437 482453 440315 133318 087582 307486 478020 577721 138044 002017 972544 305185 202698 487818 232446 271929 130460 324539 457251 095137 518048 086551 558799 943144 926207 274418 340735 761561 128238 820705 742102 317055 969694 124737 873879 651018 271256 161516 901470 684659 477880 608363 191399 825654 011537 524005 240633 048566 356557 019733 416376 726799 520124 326883 490718 844371 545718 653455 595387 622806 329610 929166 278001 331936 921587 555212 865348 907441 991168 929718 861894 702853 429789 753635 302544 245001 024361 372324 369586 583156 963582 597956 045173 418811 702869 005535 447130 947692 773809 592156 166933 131890 463688 210460 060901 661749 621638 364260 434173 047542 572021 484375 / 449 > 251831 [i]
- extracting embedded OOA [i] would yield OOA(251831, 917, S25, 2, 1795), but
- m-reduction [i] would yield (36, 1831, 917)-net in base 25, but