Information on Result #612729

Linear OA(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15

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(438, 68, F4, 17) (dual of [68, 30, 18]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(442, 70, F4, 21) (dual of [70, 28, 22]-code) [i]✔
3Linear OA(443, 73, F4, 21) (dual of [73, 30, 22]-code) [i]✔
4Linear OA(440, 70, F4, 19) (dual of [70, 30, 20]-code) [i]✔
5Linear OA(434, 67, F4, 15) (dual of [67, 33, 16]-code) [i]✔
6Linear OA(445, 73, F4, 22) (dual of [73, 28, 23]-code) [i]✔
7Linear OA(446, 76, F4, 22) (dual of [76, 30, 23]-code) [i]✔
8Linear OA(435, 71, F4, 15) (dual of [71, 36, 16]-code) [i]✔
9Linear OA(450, 80, F4, 23) (dual of [80, 30, 24]-code) [i]✔
10Linear OA(458, 88, F4, 26) (dual of [88, 30, 27]-code) [i]✔
11Linear OA(457, 85, F4, 26) (dual of [85, 28, 27]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
12Linear OA(454, 82, F4, 24) (dual of [82, 28, 25]-code) [i]✔
13Linear OA(457, 86, F4, 26) (dual of [86, 29, 27]-code) [i]✔
14Linear OA(456, 84, F4, 26) (dual of [84, 28, 27]-code) [i]✔
15Linear OA(454, 82, F4, 25) (dual of [82, 28, 26]-code) [i]✔
16Linear OA(448, 76, F4, 23) (dual of [76, 28, 24]-code) [i]✔
17Linear OA(451, 82, F4, 23) (dual of [82, 31, 24]-code) [i]✔
18Linear OA(445, 74, F4, 22) (dual of [74, 29, 23]-code) [i]✔
19Linear OA(444, 72, F4, 22) (dual of [72, 28, 23]-code) [i]✔
20Linear OA(444, 75, F4, 21) (dual of [75, 31, 22]-code) [i]✔
21Linear OA(439, 70, F4, 17) (dual of [70, 31, 18]-code) [i]✔