Information on Result #604680

Linear OA(443, 44, F4, 43) (dual of [44, 1, 44]-code or 44-arc in PG(42,4)), using dual of repetition code with length 44

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(443, 44, F4, 42) (dual of [44, 1, 43]-code) [i]Strength Reduction
2Linear OA(443, 44, F4, 41) (dual of [44, 1, 42]-code) [i]
3Linear OA(443, 44, F4, 40) (dual of [44, 1, 41]-code) [i]
4Linear OA(443, 44, F4, 39) (dual of [44, 1, 40]-code) [i]
5Linear OA(443, 44, F4, 38) (dual of [44, 1, 39]-code) [i]
6Linear OA(443, 44, F4, 37) (dual of [44, 1, 38]-code) [i]
7Linear OA(443, 44, F4, 36) (dual of [44, 1, 37]-code) [i]
8Linear OA(484, 110, F4, 43) (dual of [110, 26, 44]-code) [i]VarÅ¡amov–Edel Lengthening
9Linear OA(485, 113, F4, 43) (dual of [113, 28, 44]-code) [i]
10Linear OA(486, 116, F4, 43) (dual of [116, 30, 44]-code) [i]
11Linear OA(497, 157, F4, 43) (dual of [157, 60, 44]-code) [i]
12Linear OA(4100, 171, F4, 43) (dual of [171, 71, 44]-code) [i]
13Linear OA(4101, 176, F4, 43) (dual of [176, 75, 44]-code) [i]
14Linear OA(4104, 192, F4, 43) (dual of [192, 88, 44]-code) [i]
15Linear OA(4108, 216, F4, 43) (dual of [216, 108, 44]-code) [i]
16Linear OA(4118, 292, F4, 43) (dual of [292, 174, 44]-code) [i]
17Linear OA(4119, 301, F4, 43) (dual of [301, 182, 44]-code) [i]
18Linear OA(4154, 909, F4, 43) (dual of [909, 755, 44]-code) [i]
19Linear OA(4163, 1216, F4, 43) (dual of [1216, 1053, 44]-code) [i]
20Linear OA(4164, 1256, F4, 43) (dual of [1256, 1092, 44]-code) [i]
21Linear OA(4171, 1577, F4, 43) (dual of [1577, 1406, 44]-code) [i]
22Linear OA(4174, 1739, F4, 43) (dual of [1739, 1565, 44]-code) [i]
23Linear OA(4182, 2258, F4, 43) (dual of [2258, 2076, 44]-code) [i]
24Linear OA(4183, 2333, F4, 43) (dual of [2333, 2150, 44]-code) [i]
25Linear OA(4190, 2934, F4, 43) (dual of [2934, 2744, 44]-code) [i]
26Linear OA(4201, 4209, F4, 43) (dual of [4209, 4008, 44]-code) [i]
27Linear OA(4207, 5126, F4, 43) (dual of [5126, 4919, 44]-code) [i]