Information on Result #688900
Linear OA(874, 84, F8, 53) (dual of [84, 10, 54]-code), using construction XX applied to Ce(53) ⊂ Ce(44) ⊂ Ce(38) based on
- linear OA(860, 64, F8, 54) (dual of [64, 4, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(853, 64, F8, 39) (dual of [64, 11, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(88, 14, F8, 7) (dual of [14, 6, 8]-code), using
- extended algebraic-geometric code AGe(F,6P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OA(85, 6, F8, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,8)), using
- dual of repetition code with length 6 [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(874, 42, F8, 2, 53) (dual of [(42, 2), 10, 54]-NRT-code) | [i] | OOA Folding | |