Information on Result #1479258
Linear OOA(4224, 3578030, F4, 3, 23) (dual of [(3578030, 3), 10733866, 24]-NRT-code), using OOA 2-folding based on linear OOA(4224, 7156060, F4, 2, 23) (dual of [(7156060, 2), 14311896, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4224, 7156061, F4, 2, 23) (dual of [(7156061, 2), 14311898, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4224, 7156061, F4, 23) (dual of [7156061, 7155837, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4224, large, F4, 23) (dual of [large, large−224, 24]-code), using
- 19 times code embedding in larger space [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- 19 times code embedding in larger space [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4224, large, F4, 23) (dual of [large, large−224, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4224, 7156061, F4, 23) (dual of [7156061, 7155837, 24]-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.