Information on Result #615390

Linear OA(8169, 512, F8, 73) (dual of [512, 343, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(8169, 512, F8, 72) (dual of [512, 343, 73]-code) [i]Strength Reduction
2Linear OA(8169, 512, F8, 71) (dual of [512, 343, 72]-code) [i]
3Linear OA(8169, 512, F8, 70) (dual of [512, 343, 71]-code) [i]
4Linear OA(8169, 512, F8, 69) (dual of [512, 343, 70]-code) [i]
5Linear OA(8169, 512, F8, 68) (dual of [512, 343, 69]-code) [i]
6Linear OA(8169, 512, F8, 67) (dual of [512, 343, 68]-code) [i]
7Linear OA(8169, 512, F8, 66) (dual of [512, 343, 67]-code) [i]
8Linear OA(8171, 514, F8, 73) (dual of [514, 343, 74]-code) [i]Code Embedding in Larger Space
9Linear OA(8172, 515, F8, 73) (dual of [515, 343, 74]-code) [i]
10Linear OA(8173, 516, F8, 73) (dual of [516, 343, 74]-code) [i]
11Linear OA(8170, 516, F8, 65) (dual of [516, 346, 66]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
12Linear OA(8173, 519, F8, 68) (dual of [519, 346, 69]-code) [i]✔
13Linear OA(8170, 519, F8, 64) (dual of [519, 349, 65]-code) [i]✔
14Linear OA(8173, 521, F8, 67) (dual of [521, 348, 68]-code) [i]✔
15Linear OA(8172, 521, F8, 66) (dual of [521, 349, 67]-code) [i]✔
16Linear OA(8173, 525, F8, 65) (dual of [525, 352, 66]-code) [i]✔
17Linear OA(8173, 528, F8, 64) (dual of [528, 355, 65]-code) [i]✔
18Linear OA(8173, 523, F8, 66) (dual of [523, 350, 67]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
19Linear OOA(8169, 256, F8, 2, 73) (dual of [(256, 2), 343, 74]-NRT-code) [i]OOA Folding