Information on Result #2157332
There is no linear OA(2112, 9945, F2, 21) (dual of [9945, 9833, 22]-code), because 1 times truncation would yield linear OA(2111, 9944, F2, 20) (dual of [9944, 9833, 21]-code), but
- the Johnson bound shows that N ≤ 106 638331 585782 850433 636116 475558 737586 328045 660723 882708 018077 784041 434504 776206 883235 262961 356882 461376 688510 215010 895525 250560 456071 085998 805173 329285 261017 595128 402070 233484 461397 759425 564389 035265 293115 076260 954866 773675 592561 795269 921420 127816 807430 300588 418633 037027 608285 668630 309290 486282 291165 448710 535601 093509 216051 264953 474909 563620 199819 560257 860309 429509 949040 129603 997538 172858 160979 927194 081418 287433 340058 017389 802097 688746 707181 880357 363934 047959 803409 987023 951456 098066 908540 622981 840897 238497 186960 143823 793911 525715 500858 666811 411254 464221 485105 654169 166334 016008 770460 176565 822127 113758 219213 560145 407104 464305 936818 034122 636580 073862 093215 486951 230767 513505 445831 822464 143407 697895 651839 412810 086150 029522 518172 084999 507444 170659 405231 404165 833363 721727 375533 625720 481533 458144 173196 210654 666328 089064 988056 239638 172056 216549 844729 721825 140495 543629 778675 780164 666690 713706 097421 632506 816769 245916 282994 002593 905189 051254 119429 157289 988451 597289 608465 094190 982811 383491 600476 403561 561679 939766 780871 720098 574826 899873 173643 112952 722436 684770 823880 832041 473917 091875 838748 177527 028617 612985 269533 770795 635976 083897 144411 723019 645793 619966 477337 858670 189785 987411 555118 969789 812634 733067 150398 000631 620688 041324 411366 884815 800657 970000 562532 074977 508256 757010 533502 008563 494739 274299 386322 735723 131618 849154 451275 362850 098273 638104 781875 552494 665027 291522 805744 350832 758944 787940 979070 389547 388770 108558 565787 858386 162133 818705 972762 837821 856473 514885 738638 565344 038197 536864 523787 712680 609381 801289 168239 293143 373298 662063 360682 293821 643540 464945 292070 734699 129005 056305 137613 947970 061358 481115 787291 320306 329744 283864 673181 826458 625716 540220 416515 878629 006758 424066 176266 104848 011081 633044 247554 742381 410344 641709 523155 569065 160635 302027 658877 293133 890360 649921 293305 713609 746940 689944 541084 896157 888189 815801 049612 137534 307743 273960 921929 408615 170164 589307 867857 361822 906983 855270 605691 766792 170418 002108 887865 079488 345181 929044 932605 402606 255049 474829 026492 729347 427441 504033 860261 616399 320162 897674 428782 354521 309717 214770 498967 987300 542554 682565 658856 241375 685214 971691 930735 324487 133224 873706 457829 695822 944510 222614 896061 262251 320781 044883 820060 264353 718060 437408 848145 433876 125945 963407 283373 066280 919624 931550 015260 597908 794335 602800 571701 440743 822063 826121 161982 986468 836996 904529 920758 139570 906210 631153 252885 350671 360648 412529 862071 246267 531771 103680 099727 886722 200023 600856 669287 028225 987978 165987 733100 396544 456053 387837 125318 558267 626787 012088 620010 639679 973762 602968 487158 956439 643779 371369 547558 778622 686032 617247 810604 152801 267429 037168 933003 031292 562672 202701 372811 400327 298514 366917 269551 141889 046128 423411 742574 178708 449305 261393 740794 250935 059748 773918 463353 497134 679210 417501 870727 698717 060636 478465 590537 977665 154391 859025 972574 216030 042685 573343 208698 006201 592402 984886 636828 326816 911933 306334 567985 448728 507166 579069 552985 390191 573928 866070 271502 168035 684079 176094 810677 996081 819895 372739 297682 546231 433329 393875 < 29833 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.