Information on Result #1549597
Linear OOA(5120, 9729, F5, 3, 25) (dual of [(9729, 3), 29067, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5120, 9729, F5, 25) (dual of [9729, 9609, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5120, 15624, F5, 25) (dual of [15624, 15504, 26]-code), using
- 1 times truncation [i] based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
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(5120, 2432, F5, 27, 25) (dual of [(2432, 27), 65544, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |