Information on Result #707089

Linear OA(4174, 255, F4, 84) (dual of [255, 81, 85]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,84], and designed minimum distance d ≥ |I|+1 = 85

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(4174, 255, F4, 83) (dual of [255, 81, 84]-code) [i]Strength Reduction
2Linear OA(4174, 255, F4, 82) (dual of [255, 81, 83]-code) [i]
3Linear OA(4174, 255, F4, 81) (dual of [255, 81, 82]-code) [i]
4Linear OA(4174, 255, F4, 80) (dual of [255, 81, 81]-code) [i]
5Linear OA(4174, 255, F4, 79) (dual of [255, 81, 80]-code) [i]
6Linear OA(4174, 255, F4, 78) (dual of [255, 81, 79]-code) [i]
7Linear OA(4174, 255, F4, 77) (dual of [255, 81, 78]-code) [i]
8Linear OA(4174, 255, F4, 76) (dual of [255, 81, 77]-code) [i]
9Linear OA(4174, 255, F4, 75) (dual of [255, 81, 76]-code) [i]
10Linear OA(4174, 255, F4, 74) (dual of [255, 81, 75]-code) [i]
11Linear OA(4177, 258, F4, 84) (dual of [258, 81, 85]-code) [i]Code Embedding in Larger Space
12Linear OA(4183, 269, F4, 84) (dual of [269, 86, 85]-code) [i]VarÅ¡amov–Edel Lengthening
13Linear OA(4184, 272, F4, 84) (dual of [272, 88, 85]-code) [i]
14Linear OA(4202, 283, F4, 92) (dual of [283, 81, 93]-code) [i]✔Construction XX with Cyclic Codes
15Linear OA(4204, 285, F4, 94) (dual of [285, 81, 95]-code) [i]✔
16Linear OA(4202, 283, F4, 93) (dual of [283, 81, 94]-code) [i]✔
17Linear OA(4200, 281, F4, 92) (dual of [281, 81, 93]-code) [i]✔
18Linear OA(4201, 279, F4, 93) (dual of [279, 78, 94]-code) [i]✔
19Linear OA(4179, 261, F4, 84) (dual of [261, 82, 85]-code) [i]Construction X with VarÅ¡amov Bound
20Linear OA(4181, 264, F4, 84) (dual of [264, 83, 85]-code) [i]
21Linear OA(4179, 262, F4, 83) (dual of [262, 83, 84]-code) [i]
22Linear OA(4182, 266, F4, 84) (dual of [266, 84, 85]-code) [i]
23Linear OA(4180, 264, F4, 83) (dual of [264, 84, 84]-code) [i]
24Linear OA(4183, 268, F4, 84) (dual of [268, 85, 85]-code) [i]
25Linear OOA(4174, 127, F4, 2, 84) (dual of [(127, 2), 80, 85]-NRT-code) [i]OOA Folding
26Linear OOA(4174, 85, F4, 3, 84) (dual of [(85, 3), 81, 85]-NRT-code) [i]