Information on Result #530149

There is no linear OA(2131, 3970, F2, 28) (dual of [3970, 3839, 29]-code), because the Johnson bound shows that N ≤ 4504 531390 626440 018261 178699 564353 124161 744893 825492 546771 023321 294557 341902 705207 384857 918197 619509 529347 461601 942050 174672 855363 710821 254454 482302 904594 539923 843840 995338 032713 857426 779972 026407 296966 469811 583713 942394 780505 456809 275101 504975 797447 978346 716302 449841 977760 561267 012576 124792 652935 086696 516306 943625 557813 736686 663655 728509 169506 430292 402546 372760 288331 205648 330985 765231 148387 435324 933063 250414 743718 473058 856628 372810 996230 495177 513002 011341 580326 663786 917311 237420 303261 661978 637640 539307 298796 909615 164146 232313 851131 282854 013384 852639 073046 991643 618756 550483 427990 604274 500999 239702 529272 409586 428473 516616 666152 111624 318815 778999 019885 794189 989973 478113 205649 628795 054385 663045 156341 167946 967012 553398 702443 043304 304142 508711 574508 937808 518007 466429 310455 291249 329937 314836 149437 969604 467554 492509 433902 639381 961511 442363 693216 269726 131659 213816 352697 046159 123543 489050 612458 239376 191732 382077 175938 298116 977965 664275 737985 769149 001467 999327 725754 799241 498077 255860 901016 539523 286618 837640 366261 751690 352137 838972 034996 516618 582853 628821 651044 019917 254204 471752 978229 273323 489219 135138 195989 243934 488459 694335 006227 236279 818293 988955 < 23839

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:

ResultThis
result
only
Method
1No linear OA(2132, 3971, F2, 29) (dual of [3971, 3839, 30]-code) [i]Truncation