Information on Result #1691213
Linear OOA(2228, 1165844, F2, 8, 16) (dual of [(1165844, 8), 9326524, 17]-NRT-code), using OOA 2-folding based on linear OOA(2228, 2331688, F2, 4, 16) (dual of [(2331688, 4), 9326524, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2228, 2331689, F2, 4, 16) (dual of [(2331689, 4), 9326528, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2228, 2331689, F2, 3, 16) (dual of [(2331689, 3), 6994839, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2228, 2796883, F2, 3, 16) (dual of [(2796883, 3), 8390421, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(244, 682, F2, 3, 8) (dual of [(682, 3), 2002, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(244, 2046, F2, 8) (dual of [2046, 2002, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- 1 times truncation [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2049 | 222−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(245, 2049, F2, 9) (dual of [2049, 2004, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(244, 2048, F2, 8) (dual of [2048, 2004, 9]-code), using
- OOA 3-folding [i] based on linear OA(244, 2046, F2, 8) (dual of [2046, 2002, 9]-code), using
- linear OOA(2184, 2796201, F2, 3, 16) (dual of [(2796201, 3), 8388419, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(2184, large, F2, 16) (dual of [large, large−184, 17]-code), using
- linear OOA(244, 682, F2, 3, 8) (dual of [(682, 3), 2002, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2228, 2796883, F2, 3, 16) (dual of [(2796883, 3), 8390421, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2228, 2331689, F2, 3, 16) (dual of [(2331689, 3), 6994839, 17]-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.