Information on Result #1159704
Linear OOA(2169, 1198376, F2, 7, 14) (dual of [(1198376, 7), 8388463, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(28, 5, F2, 7, 7) (dual of [(5, 7), 27, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(28, 5, F2, 6, 7) (dual of [(5, 6), 22, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,22P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- appending kth column [i] based on linear OOA(28, 5, F2, 6, 7) (dual of [(5, 6), 22, 8]-NRT-code), using
- linear OOA(2161, 1198371, F2, 7, 14) (dual of [(1198371, 7), 8388436, 15]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 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 7-folding [i] based on linear OA(2161, 8388597, F2, 14) (dual of [8388597, 8388436, 15]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2234, 2396752, F2, 7, 14) (dual of [(2396752, 7), 16777030, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2169, 1198375, F2, 8, 14) (dual of [(1198375, 8), 9586831, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(2169, 1198375, F2, 21, 14) (dual of [(1198375, 21), 25165706, 15]-NRT-code) | [i] | ||