Information on Result #1619876
Linear OOA(2219, 2130509, F2, 5, 14) (dual of [(2130509, 5), 10652326, 15]-NRT-code), using OOA 2-folding based on linear OOA(2219, 4261018, F2, 3, 14) (dual of [(4261018, 3), 12782835, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2219, 4261018, F2, 2, 14) (dual of [(4261018, 2), 8521817, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2219, 4456445, F2, 2, 14) (dual of [(4456445, 2), 8912671, 15]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2217, 4456444, F2, 2, 14) (dual of [(4456444, 2), 8912671, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(256, 262143, F2, 2, 7) (dual of [(262143, 2), 524230, 8]-NRT-code), using
- linear OOA(2161, 4194301, F2, 2, 14) (dual of [(4194301, 2), 8388441, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(2161, large, F2, 14) (dual of [large, large−161, 15]-code), using
- OOA 2-folding [i] based on linear OA(2161, 8388602, F2, 14) (dual of [8388602, 8388441, 15]-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2217, 4456444, F2, 2, 14) (dual of [(4456444, 2), 8912671, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2219, 4456445, F2, 2, 14) (dual of [(4456445, 2), 8912671, 15]-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.