Information on Result #612989

Linear OA(4155, 16384, F4, 30) (dual of [16384, 16229, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4170, 16400, F4, 30) (dual of [16400, 16230, 31]-code) [i](u, u+v)-Construction
2Linear OA(4173, 16405, F4, 30) (dual of [16405, 16232, 31]-code) [i]
3Linear OA(4174, 16407, F4, 30) (dual of [16407, 16233, 31]-code) [i]
4Linear OA(4176, 16411, F4, 30) (dual of [16411, 16235, 31]-code) [i]
5Linear OA(4176, 16406, F4, 30) (dual of [16406, 16230, 31]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(4162, 16391, F4, 31) (dual of [16391, 16229, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
7Linear OA(4155, 16391, F4, 30) (dual of [16391, 16236, 31]-code) [i]✔
8Linear OA(4170, 16399, F4, 32) (dual of [16399, 16229, 33]-code) [i]✔
9Linear OA(4172, 16401, F4, 33) (dual of [16401, 16229, 34]-code) [i]✔
10Linear OA(4158, 16401, F4, 30) (dual of [16401, 16243, 31]-code) [i]✔
11Linear OA(4181, 16410, F4, 34) (dual of [16410, 16229, 35]-code) [i]✔
12Linear OA(4160, 16410, F4, 30) (dual of [16410, 16250, 31]-code) [i]✔
13Linear OA(4190, 16419, F4, 35) (dual of [16419, 16229, 36]-code) [i]✔
14Linear OA(4162, 16419, F4, 30) (dual of [16419, 16257, 31]-code) [i]✔
15Linear OA(4203, 16432, F4, 37) (dual of [16432, 16229, 38]-code) [i]✔
16Linear OA(4200, 16429, F4, 36) (dual of [16429, 16229, 37]-code) [i]✔
17Linear OA(4168, 16432, F4, 30) (dual of [16432, 16264, 31]-code) [i]✔
18Linear OA(4213, 16442, F4, 38) (dual of [16442, 16229, 39]-code) [i]✔
19Linear OA(4171, 16442, F4, 30) (dual of [16442, 16271, 31]-code) [i]✔
20Linear OA(4222, 16448, F4, 39) (dual of [16448, 16226, 40]-code) [i]✔
21Linear OA(4225, 16454, F4, 39) (dual of [16454, 16229, 40]-code) [i]✔
22Linear OA(4173, 16448, F4, 30) (dual of [16448, 16275, 31]-code) [i]✔
23Linear OA(4176, 16454, F4, 30) (dual of [16454, 16278, 31]-code) [i]✔
24Linear OA(4237, 16466, F4, 41) (dual of [16466, 16229, 42]-code) [i]✔
25Linear OA(4233, 16462, F4, 40) (dual of [16462, 16229, 41]-code) [i]✔
26Linear OA(4248, 16474, F4, 42) (dual of [16474, 16226, 43]-code) [i]✔
27Linear OA(4223, 16452, F4, 39) (dual of [16452, 16229, 40]-code) [i]✔
28Linear OA(4174, 16452, F4, 30) (dual of [16452, 16278, 31]-code) [i]✔
29Linear OA(4235, 16458, F4, 41) (dual of [16458, 16223, 42]-code) [i]✔
30Linear OA(4232, 16456, F4, 40) (dual of [16456, 16224, 41]-code) [i]✔
31Linear OA(4248, 16477, F4, 42) (dual of [16477, 16229, 43]-code) [i]✔
32Linear OA(4247, 16474, F4, 42) (dual of [16474, 16227, 43]-code) [i]✔
33Linear OA(4201, 16426, F4, 37) (dual of [16426, 16225, 38]-code) [i]✔
34Linear OA(4202, 16430, F4, 37) (dual of [16430, 16228, 38]-code) [i]✔
35Linear OA(4199, 16428, F4, 36) (dual of [16428, 16229, 37]-code) [i]✔
36Linear OA(4166, 16426, F4, 30) (dual of [16426, 16260, 31]-code) [i]✔
37Linear OA(4167, 16430, F4, 30) (dual of [16430, 16263, 31]-code) [i]✔
38Linear OA(4211, 16440, F4, 38) (dual of [16440, 16229, 39]-code) [i]✔
39Linear OA(4169, 16440, F4, 30) (dual of [16440, 16271, 31]-code) [i]✔
40Linear OA(4221, 16447, F4, 39) (dual of [16447, 16226, 40]-code) [i]✔
41Linear OA(4172, 16447, F4, 30) (dual of [16447, 16275, 31]-code) [i]✔
42Linear OA(4173, 16451, F4, 30) (dual of [16451, 16278, 31]-code) [i]✔
43Linear OA(4189, 16412, F4, 35) (dual of [16412, 16223, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
44Linear OA(4180, 16403, F4, 34) (dual of [16403, 16223, 35]-code) [i]✔
45Linear OA(4182, 16412, F4, 34) (dual of [16412, 16230, 35]-code) [i]✔
46Linear OA(4171, 16394, F4, 33) (dual of [16394, 16223, 34]-code) [i]✔
47Linear OA(4173, 16403, F4, 33) (dual of [16403, 16230, 34]-code) [i]✔
48Linear OA(4171, 16401, F4, 32) (dual of [16401, 16230, 33]-code) [i]✔
49Linear OA(4157, 16394, F4, 30) (dual of [16394, 16237, 31]-code) [i]✔
50Linear OA(4159, 16403, F4, 30) (dual of [16403, 16244, 31]-code) [i]✔
51Linear OA(4161, 16412, F4, 30) (dual of [16412, 16251, 31]-code) [i]✔
52Linear OOA(4155, 1092, F4, 30, 30) (dual of [(1092, 30), 32605, 31]-NRT-code) [i]OA Folding and Stacking