Information on Result #2200260
Linear OA(465, 75, F4, 41) (dual of [75, 10, 42]-code), using strength reduction based on linear OA(465, 75, F4, 43) (dual of [75, 10, 44]-code), using
- concatenation of two codes [i] based on
- linear OA(1610, 15, F16, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- linear OA(1610, 15, F16, 10) (dual of [15, 5, 11]-code or 15-arc in PG(9,16)), using
Mode: Constructive and 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(2204, 222, F2, 83) (dual of [222, 18, 84]-code) | [i] | Concatenation of Two Codes | |
| 2 | Linear OOA(465, 25, F4, 3, 41) (dual of [(25, 3), 10, 42]-NRT-code) | [i] | OOA Folding | |