Information on Result #1478959
Linear OOA(4142, 3201028, F4, 3, 15) (dual of [(3201028, 3), 9602942, 16]-NRT-code), using OOA 2-folding based on linear OOA(4142, 6402056, F4, 2, 15) (dual of [(6402056, 2), 12803970, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4142, 6402057, F4, 2, 15) (dual of [(6402057, 2), 12803972, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4142, 6402057, F4, 15) (dual of [6402057, 6401915, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4142, large, F4, 15) (dual of [large, large−142, 16]-code), using
- 9 times code embedding in larger space [i] based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 9 times code embedding in larger space [i] based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4142, large, F4, 15) (dual of [large, large−142, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4142, 6402057, F4, 15) (dual of [6402057, 6401915, 16]-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.