Information on Result #688927
Linear OA(857, 82, F8, 35) (dual of [82, 25, 36]-code), using construction XX applied to Ce(35) ⊂ Ce(27) ⊂ Ce(26) based on
- linear OA(848, 64, F8, 36) (dual of [64, 16, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(840, 64, F8, 28) (dual of [64, 24, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(839, 64, F8, 27) (dual of [64, 25, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(88, 17, F8, 6) (dual of [17, 9, 7]-code), using
- extended algebraic-geometric code AGe(F,10P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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 OA(857, 82, F8, 34) (dual of [82, 25, 35]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(857, 41, F8, 2, 35) (dual of [(41, 2), 25, 36]-NRT-code) | [i] | OOA Folding | |