Information on Result #1014967
Linear OOA(8163, 699074, F8, 3, 25) (dual of [(699074, 3), 2097059, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(815, 24, F8, 3, 12) (dual of [(24, 3), 57, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,59P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,59P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(8148, 699050, F8, 3, 25) (dual of [(699050, 3), 2097002, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8148, 2097150, F8, 25) (dual of [2097150, 2097002, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(8148, 2097152, F8, 25) (dual of [2097152, 2097004, 26]-code), using
- OOA 3-folding [i] based on linear OA(8148, 2097150, F8, 25) (dual of [2097150, 2097002, 26]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(8163, 174768, F8, 27, 25) (dual of [(174768, 27), 4718573, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |