Information on Result #1323405
Linear OA(797, 113, F7, 65) (dual of [113, 16, 66]-code), using construction X with Varšamov bound based on
- linear OA(796, 111, F7, 65) (dual of [111, 15, 66]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(795, 109, F7, 65) (dual of [109, 14, 66]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(788, 100, F7, 65) (dual of [100, 12, 66]-code), using
- linear OA(788, 102, F7, 59) (dual of [102, 14, 60]-code), using Gilbert–Varšamov bound and bm = 788 > Vbs−1(k−1) = 115 139040 109524 508348 304532 163757 128696 582130 866162 552042 080542 276080 548007 [i]
- linear OA(75, 7, F7, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,7)), using
- Reed–Solomon code RS(2,7) [i]
- construction X with Varšamov bound [i] based on
- linear OA(795, 110, F7, 64) (dual of [110, 15, 65]-code), using Gilbert–Varšamov bound and bm = 795 > Vbs−1(k−1) = 179 387985 736655 565630 101385 707675 846476 221473 463273 914065 621728 950386 464306 409447 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(795, 109, F7, 65) (dual of [109, 14, 66]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(796, 112, F7, 64) (dual of [112, 16, 65]-code), using Gilbert–Varšamov bound and bm = 796 > Vbs−1(k−1) = 959 952374 743042 349487 520452 560987 287046 460669 511435 779315 706788 821872 341993 892663 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code) (see above)
Mode: 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
None.