Information on Result #612872

Linear OA(438, 64, F4, 22) (dual of [64, 26, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22

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(4102, 128, F4, 45) (dual of [128, 26, 46]-code) [i]Repeating Each Code Word
2Linear OA(2140, 192, F2, 45) (dual of [192, 52, 46]-code) [i]Concatenation of Two Codes
3Linear OA(445, 73, F4, 22) (dual of [73, 28, 23]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
4Linear OA(446, 76, F4, 22) (dual of [76, 30, 23]-code) [i]✔
5Linear OA(447, 80, F4, 22) (dual of [80, 33, 23]-code) [i]✔
6Linear OA(450, 86, F4, 22) (dual of [86, 36, 23]-code) [i]✔
7Linear OA(452, 91, F4, 22) (dual of [91, 39, 23]-code) [i]✔
8Linear OA(452, 76, F4, 27) (dual of [76, 24, 28]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
9Linear OA(454, 81, F4, 27) (dual of [81, 27, 28]-code) [i]✔
10Linear OA(446, 70, F4, 25) (dual of [70, 24, 26]-code) [i]✔
11Linear OA(449, 76, F4, 26) (dual of [76, 27, 27]-code) [i]✔
12Linear OA(446, 73, F4, 24) (dual of [73, 27, 25]-code) [i]✔
13Linear OA(457, 85, F4, 26) (dual of [85, 28, 27]-code) [i]✔
14Linear OA(454, 82, F4, 24) (dual of [82, 28, 25]-code) [i]✔
15Linear OA(445, 74, F4, 22) (dual of [74, 29, 23]-code) [i]✔
16Linear OA(444, 72, F4, 22) (dual of [72, 28, 23]-code) [i]✔
17Linear OA(448, 82, F4, 22) (dual of [82, 34, 23]-code) [i]✔
18Linear OOA(438, 32, F4, 2, 22) (dual of [(32, 2), 26, 23]-NRT-code) [i]OOA Folding