Information on Result #529975
There is no linear OA(2107, 4165, F2, 22) (dual of [4165, 4058, 23]-code), because the Johnson bound shows that N ≤ 3799 266890 887328 835499 704146 182823 530713 303875 702386 466546 041513 030312 294391 667790 314783 202733 002763 819351 305332 390927 926050 429289 835323 591798 651993 425030 556632 016912 976465 460864 535861 326734 732156 994596 791914 988456 244588 972674 116095 182400 558626 657921 173225 183696 581725 121596 472782 578983 750021 367978 754304 300066 352693 138547 669153 052133 119497 328298 225764 590871 927938 357619 986195 521382 929169 114954 542917 661666 019228 238898 163538 854163 253380 868765 900872 163532 456154 282640 739629 577807 066536 082512 564582 238720 843506 982296 419809 100013 633949 611331 444240 933778 968848 377403 770199 672147 214579 875077 299242 733351 479604 547187 954899 082613 963147 464244 899174 859241 306187 368918 276086 088907 464098 491324 013014 799116 002205 768629 526675 308192 331163 818547 257338 291977 955059 803290 337373 739551 539157 824067 915757 905338 940889 294729 275205 890052 053212 526370 211130 542656 337544 317330 898321 062576 747674 071760 073594 538973 820518 793146 574218 754917 566292 618567 688970 417181 012043 152039 789828 465752 635387 732007 708155 802420 878915 874485 143081 701348 014027 327689 251201 035863 018562 232389 712659 728662 736341 969385 245020 306519 488073 803765 167334 818584 833639 619232 143401 378958 533589 048905 009666 734616 643514 880487 976153 864440 684090 367012 108334 834371 629175 903554 273877 121934 < 24058
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, 4166, F2, 23) (dual of [4166, 4058, 24]-code) | [i] | Truncation | |