Information on Result #604686

Linear OA(449, 50, F4, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,4)), using dual of repetition code with length 50

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(449, 50, F4, 48) (dual of [50, 1, 49]-code) [i]Strength Reduction
2Linear OA(449, 50, F4, 47) (dual of [50, 1, 48]-code) [i]
3Linear OA(449, 50, F4, 46) (dual of [50, 1, 47]-code) [i]
4Linear OA(449, 50, F4, 45) (dual of [50, 1, 46]-code) [i]
5Linear OA(449, 50, F4, 44) (dual of [50, 1, 45]-code) [i]
6Linear OA(449, 50, F4, 43) (dual of [50, 1, 44]-code) [i]
7Linear OA(449, 50, F4, 42) (dual of [50, 1, 43]-code) [i]
8Linear OA(449, 50, F4, 41) (dual of [50, 1, 42]-code) [i]
9Linear OA(449, 50, F4, 40) (dual of [50, 1, 41]-code) [i]
10Linear OA(496, 125, F4, 49) (dual of [125, 29, 50]-code) [i]VarÅ¡amov–Edel Lengthening
11Linear OA(497, 128, F4, 49) (dual of [128, 31, 50]-code) [i]
12Linear OA(498, 131, F4, 49) (dual of [131, 33, 50]-code) [i]
13Linear OA(499, 134, F4, 49) (dual of [134, 35, 50]-code) [i]
14Linear OA(4113, 188, F4, 49) (dual of [188, 75, 50]-code) [i]
15Linear OA(4114, 193, F4, 49) (dual of [193, 79, 50]-code) [i]
16Linear OA(4115, 198, F4, 49) (dual of [198, 83, 50]-code) [i]
17Linear OA(4116, 203, F4, 49) (dual of [203, 87, 50]-code) [i]
18Linear OA(4117, 208, F4, 49) (dual of [208, 91, 50]-code) [i]
19Linear OA(4119, 219, F4, 49) (dual of [219, 100, 50]-code) [i]
20Linear OA(4124, 249, F4, 49) (dual of [249, 125, 50]-code) [i]
21Linear OA(4134, 324, F4, 49) (dual of [324, 190, 50]-code) [i]
22Linear OA(4135, 333, F4, 49) (dual of [333, 198, 50]-code) [i]
23Linear OA(4136, 342, F4, 49) (dual of [342, 206, 50]-code) [i]
24Linear OA(4142, 402, F4, 49) (dual of [402, 260, 50]-code) [i]
25Linear OA(4143, 413, F4, 49) (dual of [413, 270, 50]-code) [i]
26Linear OA(4145, 436, F4, 49) (dual of [436, 291, 50]-code) [i]
27Linear OA(4146, 448, F4, 49) (dual of [448, 302, 50]-code) [i]
28Linear OA(4153, 543, F4, 49) (dual of [543, 390, 50]-code) [i]
29Linear OA(4159, 641, F4, 49) (dual of [641, 482, 50]-code) [i]
30Linear OA(4160, 659, F4, 49) (dual of [659, 499, 50]-code) [i]
31Linear OA(4168, 824, F4, 49) (dual of [824, 656, 50]-code) [i]
32Linear OA(4188, 1449, F4, 49) (dual of [1449, 1261, 50]-code) [i]
33Linear OA(4197, 1872, F4, 49) (dual of [1872, 1675, 50]-code) [i]
34Linear OA(4202, 2159, F4, 49) (dual of [2159, 1957, 50]-code) [i]
35Linear OA(4231, 4957, F4, 49) (dual of [4957, 4726, 50]-code) [i]