Information on Result #901821
Linear OOA(3227, 16429, F32, 2, 8) (dual of [(16429, 2), 32831, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(325, 44, F32, 2, 4) (dual of [(44, 2), 83, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,83P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3222, 16385, F32, 2, 8) (dual of [(16385, 2), 32748, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3222, 32770, F32, 8) (dual of [32770, 32748, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3222, 32771, F32, 8) (dual of [32771, 32749, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(3222, 32768, F32, 8) (dual of [32768, 32746, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(3219, 32768, F32, 7) (dual of [32768, 32749, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(3222, 32771, F32, 8) (dual of [32771, 32749, 9]-code), using
- OOA 2-folding [i] based on linear OA(3222, 32770, F32, 8) (dual of [32770, 32748, 9]-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(32103, 4210730, F32, 2, 16) (dual of [(4210730, 2), 8421357, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(32108, 4210730, F32, 2, 17) (dual of [(4210730, 2), 8421352, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(3227, 8214, F32, 10, 8) (dual of [(8214, 10), 82113, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |