Information on Result #690127

Linear OA(997, 729, F9, 37) (dual of [729, 632, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

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(9100, 732, F9, 38) (dual of [732, 632, 39]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(998, 733, F9, 37) (dual of [733, 635, 38]-code) [i]✔
3Linear OA(999, 737, F9, 37) (dual of [737, 638, 38]-code) [i]✔
4Linear OA(9108, 739, F9, 40) (dual of [739, 631, 41]-code) [i]✔
5Linear OA(9109, 741, F9, 40) (dual of [741, 632, 41]-code) [i]✔
6Linear OA(9101, 742, F9, 37) (dual of [742, 641, 38]-code) [i]✔
7Linear OA(999, 739, F9, 36) (dual of [739, 640, 37]-code) [i]✔
8Linear OA(9102, 745, F9, 37) (dual of [745, 643, 38]-code) [i]✔
9Linear OA(9103, 747, F9, 37) (dual of [747, 644, 38]-code) [i]✔
10Linear OA(9101, 745, F9, 36) (dual of [745, 644, 37]-code) [i]✔
11Linear OA(9118, 750, F9, 42) (dual of [750, 632, 43]-code) [i]✔
12Linear OA(9104, 751, F9, 37) (dual of [751, 647, 38]-code) [i]✔
13Linear OA(9106, 756, F9, 37) (dual of [756, 650, 38]-code) [i]✔
14Linear OA(9104, 754, F9, 36) (dual of [754, 650, 37]-code) [i]✔
15Linear OA(9127, 757, F9, 44) (dual of [757, 630, 45]-code) [i]✔
16Linear OA(9128, 760, F9, 44) (dual of [760, 632, 45]-code) [i]✔
17Linear OA(9109, 762, F9, 37) (dual of [762, 653, 38]-code) [i]✔
18Linear OA(9107, 760, F9, 36) (dual of [760, 653, 37]-code) [i]✔
19Linear OA(9135, 767, F9, 46) (dual of [767, 632, 47]-code) [i]✔
20Linear OA(9111, 767, F9, 37) (dual of [767, 656, 38]-code) [i]✔
21Linear OA(9109, 765, F9, 36) (dual of [765, 656, 37]-code) [i]✔
22Linear OA(9139, 769, F9, 47) (dual of [769, 630, 48]-code) [i]✔
23Linear OA(9140, 772, F9, 47) (dual of [772, 632, 48]-code) [i]✔
24Linear OA(9114, 773, F9, 37) (dual of [773, 659, 38]-code) [i]✔
25Linear OA(9144, 776, F9, 48) (dual of [776, 632, 49]-code) [i]✔
26Linear OA(9148, 780, F9, 49) (dual of [780, 632, 50]-code) [i]✔
27Linear OA(9117, 782, F9, 37) (dual of [782, 665, 38]-code) [i]✔
28Linear OA(9115, 780, F9, 36) (dual of [780, 665, 37]-code) [i]✔
29Linear OA(9121, 792, F9, 37) (dual of [792, 671, 38]-code) [i]✔
30Linear OA(9119, 790, F9, 36) (dual of [790, 671, 37]-code) [i]✔
31Linear OA(9134, 764, F9, 46) (dual of [764, 630, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
32Linear OA(9127, 758, F9, 44) (dual of [758, 631, 45]-code) [i]✔
33Linear OA(9126, 756, F9, 44) (dual of [756, 630, 45]-code) [i]✔
34Linear OA(9131, 765, F9, 44) (dual of [765, 634, 45]-code) [i]✔
35Linear OA(9130, 763, F9, 44) (dual of [763, 633, 45]-code) [i]✔
36Linear OA(9126, 761, F9, 43) (dual of [761, 635, 44]-code) [i]✔
37Linear OA(9125, 759, F9, 43) (dual of [759, 634, 44]-code) [i]✔
38Linear OA(9117, 747, F9, 42) (dual of [747, 630, 43]-code) [i]✔
39Linear OA(9120, 753, F9, 42) (dual of [753, 633, 43]-code) [i]✔
40Linear OA(9102, 747, F9, 36) (dual of [747, 645, 37]-code) [i]✔
41Linear OA(9105, 753, F9, 37) (dual of [753, 648, 38]-code) [i]✔
42Linear OA(9106, 758, F9, 36) (dual of [758, 652, 37]-code) [i]✔
43Linear OA(9105, 756, F9, 36) (dual of [756, 651, 37]-code) [i]✔
44Linear OA(9110, 764, F9, 37) (dual of [764, 654, 38]-code) [i]✔
45Linear OA(9108, 762, F9, 36) (dual of [762, 654, 37]-code) [i]✔
46Linear OOA(997, 243, F9, 3, 37) (dual of [(243, 3), 632, 38]-NRT-code) [i]OOA Folding