Information on Result #1616058
Linear OOA(2190, 2097406, F2, 4, 15) (dual of [(2097406, 4), 8389434, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(226, 255, F2, 4, 7) (dual of [(255, 4), 994, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(226, 255, F2, 3, 7) (dual of [(255, 3), 739, 8]-NRT-code), using
- linear OOA(2164, 2097151, F2, 4, 15) (dual of [(2097151, 4), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2164, 4194302, F2, 2, 15) (dual of [(4194302, 2), 8388440, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2164, 4194302, F2, 2, 15) (dual of [(4194302, 2), 8388440, 16]-NRT-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.