Information on Result #1079720
Linear OOA(2146, 2097155, F2, 4, 13) (dual of [(2097155, 4), 8388474, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(27, 5, F2, 4, 6) (dual of [(5, 4), 13, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,13P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OOA(2139, 2097150, F2, 4, 13) (dual of [(2097150, 4), 8388461, 14]-NRT-code), using
- OOA 4-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 4-folding [i] based on linear OA(2139, 8388600, F2, 13) (dual of [8388600, 8388461, 14]-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(2210, 4194304, F2, 4, 13) (dual of [(4194304, 4), 16777006, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2211, 4194305, F2, 4, 13) (dual of [(4194305, 4), 16777009, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2213, 4194310, F2, 4, 13) (dual of [(4194310, 4), 16777027, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2210, 4194305, F2, 4, 13) (dual of [(4194305, 4), 16777010, 14]-NRT-code) | [i] | ||