Information on Result #700736

Linear OA(327, 80, F3, 11) (dual of [80, 53, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12

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(3244, 793, F3, 57) (dual of [793, 549, 58]-code) [i]Construction X with Cyclic Codes
2Linear OA(3238, 797, F3, 55) (dual of [797, 559, 56]-code) [i]
3Linear OA(336, 99, F3, 12) (dual of [99, 63, 13]-code) [i]✔Construction XX with Cyclic Codes
4Linear OA(334, 93, F3, 12) (dual of [93, 59, 13]-code) [i]✔
5Linear OA(331, 86, F3, 12) (dual of [86, 55, 13]-code) [i]✔
6Linear OA(343, 106, F3, 14) (dual of [106, 63, 15]-code) [i]✔
7Linear OA(342, 101, F3, 14) (dual of [101, 59, 15]-code) [i]✔
8Linear OA(341, 100, F3, 14) (dual of [100, 59, 15]-code) [i]✔
9Linear OA(338, 93, F3, 14) (dual of [93, 55, 15]-code) [i]✔
10Linear OA(336, 89, F3, 14) (dual of [89, 53, 15]-code) [i]✔
11Linear OA(343, 96, F3, 16) (dual of [96, 53, 17]-code) [i]✔
12Linear OA(341, 94, F3, 15) (dual of [94, 53, 16]-code) [i]✔
13Linear OA(3250, 795, F3, 59) (dual of [795, 545, 60]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
14Linear OA(3244, 795, F3, 58) (dual of [795, 551, 59]-code) [i]
15Linear OA(3241, 798, F3, 56) (dual of [798, 557, 57]-code) [i]
16Linear OA(3241, 804, F3, 55) (dual of [804, 563, 56]-code) [i]
17Linear OA(3235, 804, F3, 53) (dual of [804, 569, 54]-code) [i]
18Linear OA(3229, 804, F3, 52) (dual of [804, 575, 53]-code) [i]
19Linear OA(3223, 804, F3, 50) (dual of [804, 581, 51]-code) [i]
20Linear OA(3187, 804, F3, 41) (dual of [804, 617, 42]-code) [i]
21Linear OA(3181, 801, F3, 40) (dual of [801, 620, 41]-code) [i]