Information on Result #604409

Linear OA(323, 24, F3, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,3)), using dual of repetition code with length 24

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:

ResultThis
result
only		Method
1Linear OA(323, 24, F3, 22) (dual of [24, 1, 23]-code) [i]Strength Reduction
2Linear OA(323, 24, F3, 21) (dual of [24, 1, 22]-code) [i]
3Linear OA(323, 24, F3, 20) (dual of [24, 1, 21]-code) [i]
4Linear OA(323, 24, F3, 19) (dual of [24, 1, 20]-code) [i]
5Linear OA(323, 24, F3, 18) (dual of [24, 1, 19]-code) [i]
6Linear OA(3207, 753, F3, 47) (dual of [753, 546, 48]-code) [i](u, u+v)-Construction
7Linear OA(3241, 2211, F3, 47) (dual of [2211, 1970, 48]-code) [i]
8Linear OA(3201, 753, F3, 46) (dual of [753, 552, 47]-code) [i]
9Linear OA(3234, 2211, F3, 46) (dual of [2211, 1977, 47]-code) [i]
10Linear OA(371, 168, F3, 23) (dual of [168, 97, 24]-code) [i]VarÅ¡amov–Edel Lengthening
11Linear OA(3178, 177172, F3, 23) (dual of [177172, 176994, 24]-code) [i]Construction X4 with Cyclic Codes
12Linear OA(3156, 177172, F3, 21) (dual of [177172, 177016, 22]-code) [i]
13Linear OA(3112, 177172, F3, 15) (dual of [177172, 177060, 16]-code) [i]
14Linear OA(368, 177172, F3, 9) (dual of [177172, 177104, 10]-code) [i]
15Linear OA(3167, 177171, F3, 22) (dual of [177171, 177004, 23]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
16Linear OA(3134, 177171, F3, 18) (dual of [177171, 177037, 19]-code) [i]
17Linear OA(390, 177171, F3, 12) (dual of [177171, 177081, 13]-code) [i]
18Linear OA(346, 177171, F3, 6) (dual of [177171, 177125, 7]-code) [i]