Information on Result #1479160
Linear OOA(4203, 3325918, F4, 3, 21) (dual of [(3325918, 3), 9977551, 22]-NRT-code), using OOA 2-folding based on linear OOA(4203, 6651836, F4, 2, 21) (dual of [(6651836, 2), 13303469, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4203, 6651837, F4, 2, 21) (dual of [(6651837, 2), 13303471, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4203, 6651837, F4, 21) (dual of [6651837, 6651634, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4203, large, F4, 21) (dual of [large, large−203, 22]-code), using
- 22 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]
- 22 times code embedding in larger space [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4203, large, F4, 21) (dual of [large, large−203, 22]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4203, 6651837, F4, 21) (dual of [6651837, 6651634, 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
None.