Information on Result #1691024
Linear OOA(2218, 4000800, F2, 8, 14) (dual of [(4000800, 8), 32006182, 15]-NRT-code), using OOA stacking with additional row based on linear OOA(2218, 4000801, F2, 7, 14) (dual of [(4000801, 7), 28005389, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2218, 4000801, F2, 2, 14) (dual of [(4000801, 2), 8001384, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2218, 4456444, F2, 2, 14) (dual of [(4456444, 2), 8912670, 15]-NRT-code), using
- strength reduction [i] based on linear OOA(2218, 4456444, F2, 2, 15) (dual of [(4456444, 2), 8912670, 16]-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(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
- (u, u+v)-construction [i] based on
- strength reduction [i] based on linear OOA(2218, 4456444, F2, 2, 15) (dual of [(4456444, 2), 8912670, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2218, 4456444, F2, 2, 14) (dual of [(4456444, 2), 8912670, 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.