Information on Result #529842

There is no linear OA(276, 2728, F2, 16) (dual of [2728, 2652, 17]-code), because the Johnson bound shows that N ≤ 2 145154 718757 897099 774063 054662 195307 511303 594249 991652 060818 156332 390601 127083 349415 679175 329541 500004 455038 181287 879235 757035 088373 514751 085738 233469 406353 840852 818918 138417 678866 915043 319496 416194 584057 498753 137434 003552 130370 200351 484354 982034 809967 424964 958873 928962 727704 304348 857822 516936 300744 517813 832546 458712 258360 686209 240455 241650 246634 663841 003048 284628 646314 754093 439387 966416 507478 566501 160514 227222 764086 215016 809472 593535 075452 344325 139173 265666 882354 003269 561214 955614 293211 212873 561242 259958 004494 132302 211917 214888 778713 191765 783527 782828 429739 036949 454407 944956 139532 567720 069587 765659 122538 437252 679385 145974 255311 185543 832613 375085 421387 642067 939216 164645 045356 081923 856337 907939 125205 630149 530116 647994 848203 453703 560558 222371 953686 669406 695445 797985 489057 995474 941824 021060 < 22652

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(277, 2729, F2, 17) (dual of [2729, 2652, 18]-code) [i]Truncation