Information on Result #1302799
Linear OA(8120, 135, F8, 85) (dual of [135, 15, 86]-code), using construction X with Varšamov bound based on
- linear OA(8119, 133, F8, 85) (dual of [133, 14, 86]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8118, 131, F8, 85) (dual of [131, 13, 86]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8108, 118, F8, 85) (dual of [118, 10, 86]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8107, 117, F8, 85) (dual of [117, 10, 86]-code), using
- linear OA(8108, 121, F8, 77) (dual of [121, 13, 78]-code), using Gilbert–Varšamov bound and bm = 8108 > Vbs−1(k−1) = 29 598844 364514 867321 458340 066672 413819 180331 811330 088996 843888 034962 848058 879134 613396 809184 651390 [i]
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [i]
- linear OA(8108, 118, F8, 85) (dual of [118, 10, 86]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8118, 132, F8, 84) (dual of [132, 14, 85]-code), using Gilbert–Varšamov bound and bm = 8118 > Vbs−1(k−1) = 31626 750897 705621 709077 053975 458873 690066 673635 167099 468770 496749 439822 260241 310969 590679 546803 810362 632064 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8118, 131, F8, 85) (dual of [131, 13, 86]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8119, 134, F8, 84) (dual of [134, 15, 85]-code), using Gilbert–Varšamov bound and bm = 8119 > Vbs−1(k−1) = 223908 789666 442363 773299 707300 278676 724908 367528 676948 146839 176167 948087 070008 142076 147103 373958 251508 680096 [i]
- linear OA(80, 1, F8, 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.