Information on Result #735163
Linear OA(8177, 6663, F81, 31) (dual of [6663, 6586, 32]-code), using (u, u+v)-construction based on
- linear OA(8116, 100, F81, 15) (dual of [100, 84, 16]-code), using
- extended algebraic-geometric code AGe(F,84P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(8161, 6563, F81, 31) (dual of [6563, 6502, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(8161, 6561, F81, 31) (dual of [6561, 6500, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(8159, 6561, F81, 30) (dual of [6561, 6502, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
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(8177, 2221, F81, 3, 31) (dual of [(2221, 3), 6586, 32]-NRT-code) | [i] | OOA Folding | |