Information on Result #1302326
Linear OA(7102, 113, F7, 72) (dual of [113, 11, 73]-code), using construction X with Varšamov bound based on
- linear OA(7101, 111, F7, 72) (dual of [111, 10, 73]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(794, 102, F7, 72) (dual of [102, 8, 73]-code), using
- 2 times truncation [i] based on linear OA(796, 104, F7, 74) (dual of [104, 8, 75]-code), using
- linear OA(794, 104, F7, 66) (dual of [104, 10, 67]-code), using Gilbert–Varšamov bound and bm = 794 > Vbs−1(k−1) = 12 012943 016506 011874 138400 036885 810792 912417 707372 380593 680481 590436 158668 101623 [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]
- linear OA(794, 102, F7, 72) (dual of [102, 8, 73]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(7101, 112, F7, 71) (dual of [112, 11, 72]-code), using Gilbert–Varšamov bound and bm = 7101 > Vbs−1(k−1) = 17 908578 551853 613645 331215 940070 964950 622432 404320 095496 423447 921816 236854 735283 661623 [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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(7103, 115, F7, 72) (dual of [115, 12, 73]-code) | [i] | Construction X with Varšamov Bound | |