Information on Result #662097

Linear OA(316, 43, F3, 7) (dual of [43, 27, 8]-code), using (u, u+v)-construction based on
  1. linear OA(35, 20, F3, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
  2. linear OA(311, 23, F3, 7) (dual of [23, 12, 8]-code), 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:

ResultThis
result
only		Method
1Linear OA(344, 101, F3, 15) (dual of [101, 57, 16]-code) [i](u, u+v)-Construction
2Linear OA(3233, 773, F3, 53) (dual of [773, 540, 54]-code) [i]Construction X with Cyclic Codes
3Linear OA(3221, 773, F3, 51) (dual of [773, 552, 52]-code) [i]
4Linear OA(3209, 773, F3, 47) (dual of [773, 564, 48]-code) [i]
5Linear OA(3197, 773, F3, 45) (dual of [773, 576, 46]-code) [i]
6Linear OA(3185, 773, F3, 41) (dual of [773, 588, 42]-code) [i]
7Linear OA(3173, 773, F3, 39) (dual of [773, 600, 40]-code) [i]
8Linear OA(3149, 773, F3, 33) (dual of [773, 624, 34]-code) [i]
9Linear OA(3245, 772, F3, 60) (dual of [772, 527, 61]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
10Linear OA(3233, 772, F3, 57) (dual of [772, 539, 58]-code) [i]
11Linear OA(3230, 772, F3, 55) (dual of [772, 542, 56]-code) [i]
12Linear OA(3218, 772, F3, 52) (dual of [772, 554, 53]-code) [i]
13Linear OA(3206, 772, F3, 49) (dual of [772, 566, 50]-code) [i]
14Linear OA(3194, 772, F3, 46) (dual of [772, 578, 47]-code) [i]
15Linear OA(3182, 772, F3, 43) (dual of [772, 590, 44]-code) [i]
16Linear OA(3170, 772, F3, 40) (dual of [772, 602, 41]-code) [i]
17Linear OA(3158, 772, F3, 37) (dual of [772, 614, 38]-code) [i]
18Linear OA(3146, 772, F3, 34) (dual of [772, 626, 35]-code) [i]
19Linear OA(3134, 772, F3, 31) (dual of [772, 638, 32]-code) [i]
20Linear OA(3125, 772, F3, 28) (dual of [772, 647, 29]-code) [i]