Information on Result #530031
There is no linear OA(2116, 4303, F2, 24) (dual of [4303, 4187, 25]-code), because the Johnson bound shows that N ≤ 2 585238 544312 183034 590854 045286 472113 819720 506140 486998 043719 380533 612800 109761 781446 066197 286426 397511 373108 954686 144573 707649 067765 064345 519936 490605 622989 073927 727423 471149 978869 509757 646293 907176 273385 793908 898400 201750 749427 781992 628957 481925 957475 928234 238768 935000 843499 163805 998835 438633 964136 879595 883133 177090 590257 714725 822803 493353 322189 697083 841551 105363 063402 621426 370623 337412 159651 591587 606105 670883 871449 439156 153274 194801 995458 496425 037326 362581 163443 057174 972964 041012 340268 046377 395911 288723 179298 169932 753384 357061 882418 377418 356922 284082 988514 019148 107479 254289 557148 737708 664992 171791 670290 861913 818935 101318 735852 120159 565997 850900 227426 936611 950894 011341 903357 524579 002597 126484 811500 064852 421498 418916 389538 427580 051034 174096 088652 187120 557621 267459 163675 425050 683802 552479 812752 166028 891409 236731 904976 799302 713613 545344 229848 257161 205422 420732 498794 690865 921518 731228 406798 633594 289308 758913 317146 333802 364280 995171 139732 372367 652797 466779 039431 675321 973007 146739 619928 501729 420069 312633 164916 258600 743168 742316 549618 884941 081321 021949 276662 265018 809731 991819 127127 966180 175315 780916 042091 577360 184078 361713 918654 648229 162389 024639 980452 217943 510842 088161 098387 923424 624557 842517 224977 531059 184465 171521 728011 968968 127031 282580 347086 < 24187
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(2117, 4304, F2, 25) (dual of [4304, 4187, 26]-code) | [i] | Truncation | |