Information on Result #1541231
Linear OOA(4199, 4968117, F4, 3, 21) (dual of [(4968117, 3), 14904152, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4199, 4968117, F4, 21) (dual of [4968117, 4967918, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4199, large, F4, 21) (dual of [large, large−199, 22]-code), using
- 18 times code embedding in larger space [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 18 times code embedding in larger space [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4199, 1242029, F4, 27, 21) (dual of [(1242029, 27), 33534584, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |