Information on Result #711346

Linear OA(561, 624, F5, 19) (dual of [624, 563, 20]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {138,139,…,156}, and designed minimum distance d ≥ |I|+1 = 20

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(561, 515, F5, 2, 19) (dual of [(515, 2), 969, 20]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(561, 515, F5, 3, 19) (dual of [(515, 3), 1484, 20]-NRT-code) [i]
3Digital (42, 61, 515)-net over F5 [i]
4Linear OA(570, 633, F5, 22) (dual of [633, 563, 23]-code) [i]✔Construction XX with Cyclic Codes
5Linear OA(576, 639, F5, 23) (dual of [639, 563, 24]-code) [i]✔
6Linear OA(581, 644, F5, 24) (dual of [644, 563, 25]-code) [i]✔
7Linear OA(596, 659, F5, 27) (dual of [659, 563, 28]-code) [i]✔
8Linear OA(5101, 664, F5, 28) (dual of [664, 563, 29]-code) [i]✔
9Linear OA(597, 654, F5, 28) (dual of [654, 557, 29]-code) [i]✔
10Linear OA(5100, 661, F5, 28) (dual of [661, 561, 29]-code) [i]✔
11Linear OA(5106, 669, F5, 29) (dual of [669, 563, 30]-code) [i]✔
12Linear OA(5104, 663, F5, 29) (dual of [663, 559, 30]-code) [i]✔
13Linear OA(5102, 659, F5, 29) (dual of [659, 557, 30]-code) [i]✔
14Linear OA(5110, 669, F5, 30) (dual of [669, 559, 31]-code) [i]✔
15Linear OA(5108, 665, F5, 30) (dual of [665, 557, 31]-code) [i]✔
16Linear OA(5119, 679, F5, 32) (dual of [679, 560, 33]-code) [i]✔
17Linear OA(5118, 677, F5, 32) (dual of [677, 559, 33]-code) [i]✔
18Linear OA(5116, 673, F5, 32) (dual of [673, 557, 33]-code) [i]✔
19Linear OA(5123, 680, F5, 33) (dual of [680, 557, 34]-code) [i]✔