Information on Result #661853
Linear OA(311, 40, F3, 5) (dual of [40, 29, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- linear OA(37, 14, F3, 5) (dual of [14, 7, 6]-code), using
- extended quadratic residue code Qe(14,3) [i]
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(3250, 277, F3, 128) (dual of [277, 27, 129]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3250, 2227, F3, 51) (dual of [2227, 1977, 52]-code) | [i] | Construction X with Cyclic Codes | |
| 3 | Linear OA(3236, 2227, F3, 49) (dual of [2227, 1991, 50]-code) | [i] | ||
| 4 | Linear OA(3222, 2227, F3, 45) (dual of [2227, 2005, 46]-code) | [i] | ||
| 5 | Linear OA(3208, 2227, F3, 43) (dual of [2227, 2019, 44]-code) | [i] | ||
| 6 | Linear OA(3194, 2227, F3, 39) (dual of [2227, 2033, 40]-code) | [i] | ||
| 7 | Linear OA(3180, 2227, F3, 37) (dual of [2227, 2047, 38]-code) | [i] | ||
| 8 | Linear OA(3166, 2227, F3, 33) (dual of [2227, 2061, 34]-code) | [i] | ||
| 9 | Linear OA(3152, 2227, F3, 31) (dual of [2227, 2075, 32]-code) | [i] | ||
| 10 | Linear OA(3138, 2227, F3, 27) (dual of [2227, 2089, 28]-code) | [i] | ||
| 11 | Linear OA(3124, 2227, F3, 25) (dual of [2227, 2103, 26]-code) | [i] | ||
| 12 | Linear OA(3110, 2227, F3, 21) (dual of [2227, 2117, 22]-code) | [i] | ||
| 13 | Linear OA(396, 2227, F3, 19) (dual of [2227, 2131, 20]-code) | [i] | ||
| 14 | Linear OA(3250, 2226, F3, 52) (dual of [2226, 1976, 53]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 15 | Linear OA(3243, 2226, F3, 50) (dual of [2226, 1983, 51]-code) | [i] | ||
| 16 | Linear OA(3229, 2226, F3, 47) (dual of [2226, 1997, 48]-code) | [i] | ||
| 17 | Linear OA(3222, 2226, F3, 46) (dual of [2226, 2004, 47]-code) | [i] | ||
| 18 | Linear OA(3215, 2226, F3, 44) (dual of [2226, 2011, 45]-code) | [i] | ||
| 19 | Linear OA(3201, 2226, F3, 41) (dual of [2226, 2025, 42]-code) | [i] | ||
| 20 | Linear OA(3194, 2226, F3, 40) (dual of [2226, 2032, 41]-code) | [i] | ||
| 21 | Linear OA(3187, 2226, F3, 38) (dual of [2226, 2039, 39]-code) | [i] | ||
| 22 | Linear OA(3173, 2226, F3, 35) (dual of [2226, 2053, 36]-code) | [i] | ||
| 23 | Linear OA(3166, 2226, F3, 34) (dual of [2226, 2060, 35]-code) | [i] | ||
| 24 | Linear OA(3159, 2226, F3, 32) (dual of [2226, 2067, 33]-code) | [i] | ||
| 25 | Linear OA(3145, 2226, F3, 29) (dual of [2226, 2081, 30]-code) | [i] | ||
| 26 | Linear OA(3138, 2226, F3, 28) (dual of [2226, 2088, 29]-code) | [i] | ||
| 27 | Linear OA(3131, 2226, F3, 26) (dual of [2226, 2095, 27]-code) | [i] | ||
| 28 | Linear OA(3117, 2226, F3, 23) (dual of [2226, 2109, 24]-code) | [i] | ||
| 29 | Linear OA(3110, 2226, F3, 22) (dual of [2226, 2116, 23]-code) | [i] | ||
| 30 | Linear OA(3103, 2226, F3, 20) (dual of [2226, 2123, 21]-code) | [i] | ||