Information on Result #1691023
Linear OOA(2217, 3756474, F2, 8, 14) (dual of [(3756474, 8), 30051575, 15]-NRT-code), using OOA stacking with additional row based on linear OOA(2217, 3756475, F2, 7, 14) (dual of [(3756475, 7), 26295108, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2217, 3756475, F2, 2, 14) (dual of [(3756475, 2), 7512733, 15]-NRT-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OOA(2217, 4456444, F2, 2, 14) (dual of [(4456444, 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.