Information on Result #2156493
There is no linear OA(261, 10672, F2, 11) (dual of [10672, 10611, 12]-code), because 1 times truncation would yield linear OA(260, 10671, F2, 10) (dual of [10671, 10611, 11]-code), but
- the Johnson bound shows that N ≤ 169 543078 982609 855118 344253 098007 542521 123248 049899 207956 448250 622164 620942 021631 864648 957075 623920 587617 610500 702962 651013 621455 540700 670699 584120 279615 990681 817039 117755 587147 850983 732889 956672 246123 952241 483846 121122 437059 422439 409952 328482 371238 836501 329586 599660 676705 753203 892501 152304 174917 012507 677753 641334 485728 666877 392915 955747 906992 847957 902097 388237 684790 793430 220795 680799 651871 975477 511155 226556 112218 931381 156210 650339 265071 302954 250609 920817 995530 689844 004344 554952 265247 553370 272738 309518 875092 705096 301257 719234 488399 866135 333895 352121 396505 731879 881135 368609 521674 266533 873673 185358 212631 010041 721140 446810 930269 372245 372821 532019 533902 973933 337019 123368 517645 328688 641338 554434 490999 728208 687654 557101 319746 707383 848678 880211 621336 207159 613729 296086 348891 776430 707506 842920 531305 752022 028690 788032 730690 015946 856125 045991 027771 090789 117995 384934 619270 292407 974323 099870 069611 405471 373792 210294 214717 510205 231991 956300 478288 081268 236365 348584 697396 663174 980814 439249 499212 796695 032862 007818 286743 123619 780794 430856 551003 288115 188616 272259 729347 057323 855984 519145 383644 993515 030411 707301 806399 064823 723573 494559 952303 461189 522889 127729 283499 199270 253164 529427 903888 786024 637624 177876 816609 635392 293856 529101 330957 707702 952251 599246 447717 420391 819465 148904 393107 959668 741259 759431 632050 702547 632962 553171 277873 622307 397272 204504 536518 009891 368648 523801 654885 010434 309669 717465 739445 971044 575599 201536 660076 789232 111447 969961 774288 443401 883417 171614 517869 539473 370186 690263 534577 975671 464499 968521 861250 937164 534150 194896 553513 466517 837287 966314 264739 828392 005538 135931 939290 392795 918098 444207 873413 824662 168525 436087 466412 899924 034806 718619 318484 052149 602301 343136 463077 238723 812716 980337 460045 000325 643622 948182 862661 386097 015671 068831 363904 078681 310812 630409 995847 041302 229179 461575 750744 208556 473495 962732 976419 575912 305640 558272 450290 898201 320325 801350 167130 057836 508081 857028 752311 502767 400991 828271 076313 169922 631362 941121 493476 106378 304022 946780 307723 942600 533541 246441 786975 949140 376169 772117 794915 403938 774569 619338 829836 044925 137502 839013 080865 879874 133717 240334 326755 085013 418946 759158 441471 061155 479908 901366 668812 652391 801832 218123 982291 999349 644447 942542 729942 841976 804221 415167 350171 621559 508151 423897 481561 486668 349604 068344 146977 129012 211773 030872 433671 776565 171636 153803 238987 028431 661709 454942 964807 085080 259196 906141 585678 385379 858609 857427 515684 613558 180700 030359 547158 296857 247683 567965 321746 506099 131662 547112 244935 542606 912822 021456 427908 957507 846396 855084 792853 266163 650641 045353 719802 237020 848251 144680 180491 302827 257080 509533 091411 873790 884770 571534 441517 590321 841817 075854 311885 252543 429613 072489 013443 904212 465052 971819 014830 772404 323711 106055 986482 565957 645004 689392 698307 354531 311739 583394 426149 702453 969475 741802 840347 662158 608690 507448 582516 731524 938151 361039 496470 800176 119864 144669 770932 150455 232769 197794 141911 430060 097195 700616 314131 241211 626145 227287 225557 375645 470720 775001 732825 907216 372491 211742 451447 063147 134660 362368 943102 689916 787931 571437 096955 047605 856385 648827 122867 787731 476523 727824 878089 736263 815356 300131 036716 192385 439071 808108 474948 738279 721126 391247 843845 042696 949253 548564 243147 432771 771044 456596 741777 992217 928698 345147 < 210611 [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.