Information on Result #737898
Linear OA(835, 80, F8, 18) (dual of [80, 45, 19]-code), using construction XX applied to Ce(17) ⊂ Ce(11) ⊂ Ce(10) based on
- linear OA(828, 64, F8, 18) (dual of [64, 36, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(820, 64, F8, 12) (dual of [64, 44, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(818, 64, F8, 11) (dual of [64, 46, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(86, 15, F8, 5) (dual of [15, 9, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 16, F8, 5) (dual of [16, 10, 6]-code), using
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(835, 40, F8, 2, 18) (dual of [(40, 2), 45, 19]-NRT-code) | [i] | OOA Folding | |