Information on Result #1014716
Linear OOA(8120, 699081, F8, 3, 18) (dual of [(699081, 3), 2097123, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(814, 28, F8, 3, 9) (dual of [(28, 3), 70, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,74P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(8106, 699053, F8, 3, 18) (dual of [(699053, 3), 2097053, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8106, 2097159, F8, 18) (dual of [2097159, 2097053, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(899, 2097152, F8, 17) (dual of [2097152, 2097053, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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
- OOA 3-folding [i] based on linear OA(8106, 2097159, F8, 18) (dual of [2097159, 2097053, 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(8120, 233026, F8, 21, 18) (dual of [(233026, 21), 4893426, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |