Information on Result #1657352
Linear OOA(2215, 1655836, F2, 6, 14) (dual of [(1655836, 6), 9934801, 15]-NRT-code), using OOA 2-folding based on linear OOA(2215, 3311672, F2, 3, 14) (dual of [(3311672, 3), 9934801, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2215, 3311673, F2, 3, 14) (dual of [(3311673, 3), 9934804, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2215, 3311673, F2, 2, 14) (dual of [(3311673, 2), 6623131, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2215, 4325372, F2, 2, 14) (dual of [(4325372, 2), 8650529, 15]-NRT-code), using
- strength reduction [i] based on linear OOA(2215, 4325372, F2, 2, 15) (dual of [(4325372, 2), 8650529, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(253, 131071, F2, 2, 7) (dual of [(131071, 2), 262089, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (46, 53, 131071)-net over F2, 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
- linear OOA(253, 131071, F2, 2, 7) (dual of [(131071, 2), 262089, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- strength reduction [i] based on linear OOA(2215, 4325372, F2, 2, 15) (dual of [(4325372, 2), 8650529, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2215, 4325372, F2, 2, 14) (dual of [(4325372, 2), 8650529, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2215, 3311673, F2, 2, 14) (dual of [(3311673, 2), 6623131, 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.