Information on Result #686444
Linear OA(8103, 262150, F8, 20) (dual of [262150, 262047, 21]-code), using construction X applied to Ce(19) ⊂ Ce(18) based on
- linear OA(8103, 262144, F8, 20) (dual of [262144, 262041, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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
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(8103, 131075, F8, 2, 20) (dual of [(131075, 2), 262047, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8103, 87383, F8, 3, 20) (dual of [(87383, 3), 262046, 21]-NRT-code) | [i] | ||
| 3 | Linear OOA(8103, 26215, F8, 20, 20) (dual of [(26215, 20), 524197, 21]-NRT-code) | [i] | OA Folding and Stacking | |