Information on Result #704110

Linear OA(3217, 728, F3, 57) (dual of [728, 511, 58]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,392}, and designed minimum distance d ≥ |I|+1 = 58

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3218, 735, F3, 57) (dual of [735, 517, 58]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3246, 800, F3, 57) (dual of [800, 554, 58]-code) [i]✔Construction XX with Cyclic Codes
3Linear OA(3245, 798, F3, 57) (dual of [798, 553, 58]-code) [i]✔
4Linear OA(3241, 790, F3, 57) (dual of [790, 549, 58]-code) [i]✔
5Linear OA(3240, 788, F3, 57) (dual of [788, 548, 58]-code) [i]✔
6Linear OA(3239, 786, F3, 57) (dual of [786, 547, 58]-code) [i]✔
7Linear OA(3238, 781, F3, 57) (dual of [781, 543, 58]-code) [i]✔
8Linear OA(3237, 779, F3, 57) (dual of [779, 542, 58]-code) [i]✔
9Linear OA(3236, 777, F3, 57) (dual of [777, 541, 58]-code) [i]✔
10Linear OA(3231, 766, F3, 57) (dual of [766, 535, 58]-code) [i]✔
11Linear OA(3230, 763, F3, 57) (dual of [763, 533, 58]-code) [i]✔
12Linear OA(3238, 784, F3, 57) (dual of [784, 546, 58]-code) [i]✔
13Linear OA(3237, 782, F3, 57) (dual of [782, 545, 58]-code) [i]✔
14Linear OA(3236, 780, F3, 57) (dual of [780, 544, 58]-code) [i]✔
15Linear OA(3235, 778, F3, 57) (dual of [778, 543, 58]-code) [i]✔
16Linear OA(3234, 776, F3, 57) (dual of [776, 542, 58]-code) [i]✔
17Linear OA(3233, 774, F3, 57) (dual of [774, 541, 58]-code) [i]✔
18Linear OA(3231, 767, F3, 57) (dual of [767, 536, 58]-code) [i]✔
19Linear OA(3230, 765, F3, 57) (dual of [765, 535, 58]-code) [i]✔
20Linear OA(3225, 754, F3, 57) (dual of [754, 529, 58]-code) [i]✔
21Linear OA(3237, 767, F3, 59) (dual of [767, 530, 60]-code) [i]✔
22Linear OA(3222, 745, F3, 57) (dual of [745, 523, 58]-code) [i]✔
23Linear OA(3221, 741, F3, 57) (dual of [741, 520, 58]-code) [i]✔
24Linear OA(3241, 767, F3, 60) (dual of [767, 526, 61]-code) [i]✔
25Linear OA(3229, 749, F3, 59) (dual of [749, 520, 60]-code) [i]✔
26Linear OA(3217, 734, F3, 57) (dual of [734, 517, 58]-code) [i]✔
27Linear OA(3231, 742, F3, 61) (dual of [742, 511, 62]-code) [i]✔
28Linear OA(3249, 760, F3, 64) (dual of [760, 511, 65]-code) [i]✔