Information on Result #1321789
Linear OA(9111, 128, F9, 79) (dual of [128, 17, 80]-code), using construction X with Varšamov bound based on
- linear OA(9105, 120, F9, 79) (dual of [120, 15, 80]-code), using
- discarding factors / shortening the dual code based on linear OA(9105, 121, F9, 79) (dual of [121, 16, 80]-code), using
- 2 times truncation [i] based on linear OA(9107, 123, F9, 81) (dual of [123, 16, 82]-code), using
- discarding factors / shortening the dual code based on linear OA(9105, 121, F9, 79) (dual of [121, 16, 80]-code), using
- linear OA(9105, 122, F9, 74) (dual of [122, 17, 75]-code), using Gilbert–Varšamov bound and bm = 9105 > Vbs−1(k−1) = 15075 664291 555105 120078 195033 616901 152436 279870 947014 937504 300664 619326 783012 364214 048623 583236 526793 [i]
- linear OA(94, 6, F9, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,9)), using
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), using
- Reed–Solomon code RS(5,9) [i]
- discarding factors / shortening the dual code based on linear OA(94, 9, F9, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,9)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(9112, 130, F9, 79) (dual of [130, 18, 80]-code) | [i] | Construction X with Varšamov Bound |