Information on Result #1649582
Linear OOA(3217, 123568, F3, 5, 28) (dual of [(123568, 5), 617623, 29]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3217, 123568, F3, 4, 28) (dual of [(123568, 4), 494055, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3217, 132860, F3, 4, 28) (dual of [(132860, 4), 531223, 29]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3217, 531440, F3, 28) (dual of [531440, 531223, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using
- OOA 4-folding [i] based on linear OA(3217, 531440, F3, 28) (dual of [531440, 531223, 29]-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(3217, 41189, F3, 35, 28) (dual of [(41189, 35), 1441398, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |