Information on Result #604681

Linear OA(444, 45, F4, 44) (dual of [45, 1, 45]-code or 45-arc in PG(43,4)), using dual of repetition code with length 45

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(444, 45, F4, 43) (dual of [45, 1, 44]-code) [i]Strength Reduction
2Linear OA(444, 45, F4, 42) (dual of [45, 1, 43]-code) [i]
3Linear OA(444, 45, F4, 41) (dual of [45, 1, 42]-code) [i]
4Linear OA(444, 45, F4, 40) (dual of [45, 1, 41]-code) [i]
5Linear OA(444, 45, F4, 39) (dual of [45, 1, 40]-code) [i]
6Linear OA(444, 45, F4, 38) (dual of [45, 1, 39]-code) [i]
7Linear OA(444, 45, F4, 37) (dual of [45, 1, 38]-code) [i]
8Linear OA(444, 45, F4, 36) (dual of [45, 1, 37]-code) [i]
9Linear OA(494, 139, F4, 44) (dual of [139, 45, 45]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(4102, 173, F4, 44) (dual of [173, 71, 45]-code) [i]
11Linear OA(4103, 178, F4, 44) (dual of [178, 75, 45]-code) [i]
12Linear OA(4104, 183, F4, 44) (dual of [183, 79, 45]-code) [i]
13Linear OA(4116, 259, F4, 44) (dual of [259, 143, 45]-code) [i]
14Linear OA(4130, 394, F4, 44) (dual of [394, 264, 45]-code) [i]
15Linear OA(4135, 459, F4, 44) (dual of [459, 324, 45]-code) [i]
16Linear OA(4137, 488, F4, 44) (dual of [488, 351, 45]-code) [i]
17Linear OA(4144, 606, F4, 44) (dual of [606, 462, 45]-code) [i]
18Linear OA(4146, 645, F4, 44) (dual of [645, 499, 45]-code) [i]
19Linear OA(4164, 1135, F4, 44) (dual of [1135, 971, 45]-code) [i]
20Linear OA(4167, 1248, F4, 44) (dual of [1248, 1081, 45]-code) [i]
21Linear OA(4178, 1770, F4, 44) (dual of [1770, 1592, 45]-code) [i]
22Linear OA(4188, 2435, F4, 44) (dual of [2435, 2247, 45]-code) [i]
23Linear OA(4195, 3046, F4, 44) (dual of [3046, 2851, 45]-code) [i]