Information on Result #902242
Linear OOA(3256, 611, F32, 2, 20) (dual of [(611, 2), 1166, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3217, 98, F32, 2, 10) (dual of [(98, 2), 179, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,185P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OOA(3239, 513, F32, 2, 20) (dual of [(513, 2), 987, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3239, 1026, F32, 20) (dual of [1026, 987, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(3239, 1024, F32, 20) (dual of [1024, 985, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3237, 1024, F32, 19) (dual of [1024, 987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 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(19) ⊂ Ce(18) [i] based on
- OOA 2-folding [i] based on linear OA(3239, 1026, F32, 20) (dual of [1026, 987, 21]-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(3256, 122, F32, 22, 20) (dual of [(122, 22), 2628, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |