Information on Result #1302314
Linear OA(7100, 113, F7, 69) (dual of [113, 13, 70]-code), using construction X with Varšamov bound based on
- linear OA(799, 111, F7, 69) (dual of [111, 12, 70]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(798, 109, F7, 69) (dual of [109, 11, 70]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(797, 107, F7, 69) (dual of [107, 10, 70]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(791, 99, F7, 69) (dual of [99, 8, 70]-code), using
- 5 times truncation [i] based on linear OA(796, 104, F7, 74) (dual of [104, 8, 75]-code), using
- linear OA(791, 101, F7, 64) (dual of [101, 10, 65]-code), using Gilbert–Varšamov bound and bm = 791 > Vbs−1(k−1) = 49608 740193 239979 659869 638434 093683 220025 461284 980333 428817 239218 461116 865121 [i]
- linear OA(74, 6, F7, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,7)), using
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- Reed–Solomon code RS(3,7) [i]
- discarding factors / shortening the dual code based on linear OA(74, 7, F7, 4) (dual of [7, 3, 5]-code or 7-arc in PG(3,7)), using
- linear OA(791, 99, F7, 69) (dual of [99, 8, 70]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(797, 108, F7, 68) (dual of [108, 11, 69]-code), using Gilbert–Varšamov bound and bm = 797 > Vbs−1(k−1) = 7710 561682 606532 268693 525707 079832 088789 026599 270545 374902 302041 537023 688695 743383 [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(797, 107, F7, 69) (dual of [107, 10, 70]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(798, 110, F7, 68) (dual of [110, 12, 69]-code), using Gilbert–Varšamov bound and bm = 798 > Vbs−1(k−1) = 51846 562896 749187 166600 477794 863983 031503 895875 770524 514677 258053 750812 527757 012967 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code) (see above)
- linear OA(798, 109, F7, 69) (dual of [109, 11, 70]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(799, 112, F7, 68) (dual of [112, 13, 69]-code), using Gilbert–Varšamov bound and bm = 799 > Vbs−1(k−1) = 329647 532530 465741 666725 626470 241048 128521 252869 814635 526562 225531 413634 348785 838903 [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.