Information on Result #2496556
Linear OOA(4260, 4194318, F4, 2, 27) (dual of [(4194318, 2), 8388376, 28]-NRT-code), using 41 times duplication based on linear OOA(4259, 4194318, F4, 2, 27) (dual of [(4194318, 2), 8388377, 28]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(418, 17, F4, 2, 13) (dual of [(17, 2), 16, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- linear OOA(418, 17, F4, 2, 13) (dual of [(17, 2), 16, 14]-NRT-code), using
Mode: Constructive and 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.