Information on Result #1310754
Linear OA(588, 749, F5, 26) (dual of [749, 661, 27]-code), using 117 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 21 times 0, 1, 32 times 0, 1, 40 times 0) based on linear OA(581, 625, F5, 26) (dual of [625, 544, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
Mode: 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(588, 749, F5, 2, 26) (dual of [(749, 2), 1410, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 749, F5, 3, 26) (dual of [(749, 3), 2159, 27]-NRT-code) | [i] | ||
| 3 | Digital (62, 88, 749)-net over F5 | [i] | ||
| 4 | Linear OOA(588, 374, F5, 2, 26) (dual of [(374, 2), 660, 27]-NRT-code) | [i] | OOA Folding | |