Information on Result #1015144
Linear OOA(8160, 10969, F8, 3, 31) (dual of [(10969, 3), 32747, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(824, 45, F8, 3, 15) (dual of [(45, 3), 111, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,119P) [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
- linear OOA(8136, 10924, F8, 3, 31) (dual of [(10924, 3), 32636, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8136, 32772, F8, 31) (dual of [32772, 32636, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(8136, 32773, F8, 31) (dual of [32773, 32637, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(8136, 32773, F8, 31) (dual of [32773, 32637, 32]-code), using
- OOA 3-folding [i] based on linear OA(8136, 32772, F8, 31) (dual of [32772, 32636, 32]-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(8160, 2193, F8, 33, 31) (dual of [(2193, 33), 72209, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |