Information on Result #1143522
Linear OOA(2211, 2796212, F2, 6, 13) (dual of [(2796212, 6), 16777061, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(264, 2097149, F2, 6, 6) (dual of [(2097149, 6), 12582830, 7]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- 1 step truncation [i] based on linear OOA(265, 2097151, F2, 3, 7) (dual of [(2097151, 3), 6291388, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(264, 2097150, F2, 3, 6) (dual of [(2097150, 3), 6291386, 7]-NRT-code), using
- linear OOA(2147, 1398106, F2, 6, 13) (dual of [(1398106, 6), 8388489, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(28, 6, F2, 6, 6) (dual of [(6, 6), 28, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 6, F2, 5, 6) (dual of [(6, 5), 22, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(5;F,23P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- appending kth column [i] based on linear OOA(28, 6, F2, 5, 6) (dual of [(6, 5), 22, 7]-NRT-code), using
- linear OOA(2139, 1398100, F2, 6, 13) (dual of [(1398100, 6), 8388461, 14]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 6-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-code), using
- linear OOA(28, 6, F2, 6, 6) (dual of [(6, 6), 28, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2211, 2796211, F2, 7, 13) (dual of [(2796211, 7), 19573266, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2211, 2796211, F2, 8, 13) (dual of [(2796211, 8), 22369477, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2211, 2796211, F2, 18, 13) (dual of [(2796211, 18), 50331587, 14]-NRT-code) | [i] | ||