Information on Result #1479202
Linear OOA(4212, 3110905, F4, 3, 22) (dual of [(3110905, 3), 9332503, 23]-NRT-code), using OOA 2-folding based on linear OOA(4212, 6221810, F4, 2, 22) (dual of [(6221810, 2), 12443408, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4212, 6221811, F4, 2, 22) (dual of [(6221811, 2), 12443410, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4212, 6221811, F4, 22) (dual of [6221811, 6221599, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4212, large, F4, 22) (dual of [large, large−212, 23]-code), using
- 19 times code embedding in larger space [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 19 times code embedding in larger space [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(4212, large, F4, 22) (dual of [large, large−212, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4212, 6221811, F4, 22) (dual of [6221811, 6221599, 23]-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.