Information on Result #529931
There is no linear OA(2107, 7537, F2, 20) (dual of [7537, 7430, 21]-code), because the Johnson bound shows that N ≤ 44946 864866 852291 718218 158605 072741 186053 888777 876521 353975 852939 583175 665582 236354 247974 048273 358884 272785 435523 459795 222666 067222 777500 180647 413971 034418 443717 102812 241818 565391 051647 973617 468624 802141 285018 616192 347447 099851 579260 720224 067001 255823 223138 958544 768072 017981 448860 395729 231475 629479 260456 946175 178752 167153 485844 518843 400949 191987 401096 712678 272911 111322 812110 970043 010524 087991 537913 415575 906762 100977 398255 780947 512539 387766 313442 613799 906448 454140 307474 481875 796072 065209 145851 109902 347855 862439 769656 137202 939350 817258 329447 914404 693923 692360 668257 488497 868977 588283 393277 814006 427926 967611 940181 348408 732512 515406 717089 374199 061031 277599 040573 618032 550624 577329 248376 762869 969579 260734 374389 981555 669023 382455 858079 259034 286126 245296 386796 730989 147536 124276 484622 087797 391483 379517 023780 389575 171653 269497 896071 579730 573559 082049 919919 369952 825000 994963 872447 386038 975027 535587 915872 744624 711800 902323 262554 533985 426238 523301 602329 271600 613166 265647 119100 772241 883791 484317 871927 130422 738519 101817 582648 193111 883616 561679 272083 814768 709447 255120 494262 654788 703515 130344 279654 861659 045643 352816 644232 454993 640441 153728 737144 114331 741147 512866 173220 863802 811009 668863 230304 116309 688217 332460 221412 169220 557193 958693 524421 079649 356394 401563 244904 760253 842841 373582 427155 195425 241597 807913 372687 982431 554882 724456 050072 537554 682736 511133 981671 926851 154727 186094 055418 985757 667045 483633 774848 106004 741272 021427 949759 035414 412099 610717 662264 526641 566924 154822 843344 561090 417648 240330 050066 653397 690009 677445 249285 811733 277005 633063 526799 322738 058012 026580 345106 713017 787562 135188 688989 366914 609979 294636 438510 334687 119918 101896 152100 567539 370470 862525 009590 410953 503692 175895 180047 174197 898475 528852 261319 112992 785975 952361 370778 039687 344910 807859 393783 720219 807376 846451 244119 609090 112583 718936 942317 823498 500772 749514 860613 984096 706532 145334 122829 098843 190170 418261 510483 931544 820701 298400 116993 003096 003644 058274 013769 059025 089673 900763 673865 176587 066255 453410 080265 516200 538078 117500 953529 625744 224393 830836 616919 449721 438345 083747 177430 051958 567118 069979 421324 478059 739069 533475 110672 094359 910223 768583 134471 574489 861360 176039 270791 686197 455997 333419 580748 478307 930975 010709 365305 599312 788146 081100 353119 700956 557142 < 27430
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(2108, 7538, F2, 21) (dual of [7538, 7430, 22]-code) | [i] | Truncation | |