Information on Result #896631
Linear OOA(8151, 4194326, F8, 2, 20) (dual of [(4194326, 2), 8388501, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(814, 25, F8, 2, 10) (dual of [(25, 2), 36, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,39P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(8137, 4194301, F8, 2, 20) (dual of [(4194301, 2), 8388465, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F8, 20) (dual of [8388602, 8388465, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F8, 20) (dual of [8388602, 8388465, 21]-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(8151, 838865, F8, 22, 20) (dual of [(838865, 22), 18454879, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |