Information on Result #681454

Linear OA(449, 256, F4, 17) (dual of [256, 207, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(451, 258, F4, 18) (dual of [258, 207, 19]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(450, 261, F4, 17) (dual of [261, 211, 18]-code) [i]✔
3Linear OA(456, 263, F4, 19) (dual of [263, 207, 20]-code) [i]✔
4Linear OA(450, 265, F4, 16) (dual of [265, 215, 17]-code) [i]✔
5Linear OA(452, 267, F4, 17) (dual of [267, 215, 18]-code) [i]✔
6Linear OA(463, 270, F4, 21) (dual of [270, 207, 22]-code) [i]✔
7Linear OA(453, 272, F4, 17) (dual of [272, 219, 18]-code) [i]✔
8Linear OA(469, 276, F4, 22) (dual of [276, 207, 23]-code) [i]✔
9Linear OA(477, 284, F4, 23) (dual of [284, 207, 24]-code) [i]✔
10Linear OA(476, 283, F4, 23) (dual of [283, 207, 24]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
11Linear OA(475, 281, F4, 23) (dual of [281, 206, 24]-code) [i]✔
12Linear OA(468, 274, F4, 22) (dual of [274, 206, 23]-code) [i]✔
13Linear OA(474, 284, F4, 22) (dual of [284, 210, 23]-code) [i]✔
14Linear OA(473, 282, F4, 22) (dual of [282, 209, 23]-code) [i]✔
15Linear OA(471, 279, F4, 22) (dual of [279, 208, 23]-code) [i]✔
16Linear OA(461, 267, F4, 20) (dual of [267, 206, 21]-code) [i]✔
17Linear OA(467, 277, F4, 21) (dual of [277, 210, 22]-code) [i]✔
18Linear OA(466, 275, F4, 21) (dual of [275, 209, 22]-code) [i]✔
19Linear OA(465, 273, F4, 21) (dual of [273, 208, 22]-code) [i]✔
20Linear OA(451, 263, F4, 17) (dual of [263, 212, 18]-code) [i]✔
21Linear OA(451, 267, F4, 16) (dual of [267, 216, 17]-code) [i]✔
22Linear OA(457, 278, F4, 17) (dual of [278, 221, 18]-code) [i]✔
23Linear OA(455, 275, F4, 17) (dual of [275, 220, 18]-code) [i]✔
24Linear OOA(449, 128, F4, 2, 17) (dual of [(128, 2), 207, 18]-NRT-code) [i]OOA Folding