Information on Result #612860

Linear OA(437, 64, F4, 21) (dual of [64, 27, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21

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(437, 64, F4, 20) (dual of [64, 27, 21]-code) [i]Strength Reduction
2Linear OA(437, 64, F4, 19) (dual of [64, 27, 20]-code) [i]
3Linear OA(437, 64, F4, 18) (dual of [64, 27, 19]-code) [i]
4Linear OA(439, 66, F4, 21) (dual of [66, 27, 22]-code) [i]Code Embedding in Larger Space
5Linear OA(447, 75, F4, 21) (dual of [75, 28, 22]-code) [i](u, u+v)-Construction
6Linear OA(449, 80, F4, 21) (dual of [80, 31, 22]-code) [i]
7Linear OA(451, 93, F4, 21) (dual of [93, 42, 22]-code) [i]
8Linear OA(2138, 192, F2, 43) (dual of [192, 54, 44]-code) [i]Concatenation of Two Codes
9Linear OA(448, 88, F4, 21) (dual of [88, 40, 22]-code) [i]VarÅ¡amov–Edel Lengthening
10Linear OA(438, 68, F4, 17) (dual of [68, 30, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
11Linear OA(442, 70, F4, 21) (dual of [70, 28, 22]-code) [i]✔
12Linear OA(443, 73, F4, 21) (dual of [73, 30, 22]-code) [i]✔
13Linear OA(440, 70, F4, 19) (dual of [70, 30, 20]-code) [i]✔
14Linear OA(445, 78, F4, 21) (dual of [78, 33, 22]-code) [i]✔
15Linear OA(443, 76, F4, 20) (dual of [76, 33, 21]-code) [i]✔
16Linear OA(446, 81, F4, 21) (dual of [81, 35, 22]-code) [i]✔
17Linear OA(447, 83, F4, 21) (dual of [83, 36, 22]-code) [i]✔
18Linear OA(445, 81, F4, 20) (dual of [81, 36, 21]-code) [i]✔
19Linear OA(454, 81, F4, 27) (dual of [81, 27, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(449, 76, F4, 26) (dual of [76, 27, 27]-code) [i]✔
21Linear OA(446, 73, F4, 24) (dual of [73, 27, 25]-code) [i]✔
22Linear OA(457, 86, F4, 26) (dual of [86, 29, 27]-code) [i]✔
23Linear OA(456, 84, F4, 26) (dual of [84, 28, 27]-code) [i]✔
24Linear OA(454, 82, F4, 25) (dual of [82, 28, 26]-code) [i]✔
25Linear OA(448, 76, F4, 23) (dual of [76, 28, 24]-code) [i]✔
26Linear OA(445, 74, F4, 22) (dual of [74, 29, 23]-code) [i]✔
27Linear OA(444, 72, F4, 22) (dual of [72, 28, 23]-code) [i]✔
28Linear OA(444, 75, F4, 21) (dual of [75, 31, 22]-code) [i]✔
29Linear OA(439, 70, F4, 17) (dual of [70, 31, 18]-code) [i]✔
30Linear OA(449, 86, F4, 21) (dual of [86, 37, 22]-code) [i]✔
31Linear OOA(437, 32, F4, 2, 21) (dual of [(32, 2), 27, 22]-NRT-code) [i]OOA Folding