Information on Result #1014709
Linear OOA(8101, 87397, F8, 3, 18) (dual of [(87397, 3), 262090, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(891, 87383, F8, 3, 18) (dual of [(87383, 3), 262058, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(891, 262149, F8, 18) (dual of [262149, 262058, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(891, 262150, F8, 18) (dual of [262150, 262059, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(80, 6, F8, 0) (dual of [6, 6, 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(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(891, 262150, F8, 18) (dual of [262150, 262059, 19]-code), using
- OOA 3-folding [i] based on linear OA(891, 262149, F8, 18) (dual of [262149, 262058, 19]-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(8101, 29132, F8, 21, 18) (dual of [(29132, 21), 611671, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |