Information on Result #714848
Linear OA(878, 94, F8, 51) (dual of [94, 16, 52]-code), using construction XX applied to C1 = C([10,53]), C2 = C([1,44]), C3 = C1 + C2 = C([10,44]), and C∩ = C1 ∩ C2 = C([1,53]) based on
- linear OA(854, 63, F8, 44) (dual of [63, 9, 45]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,53}, and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(854, 63, F8, 44) (dual of [63, 9, 45]-code), using 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(859, 63, F8, 53) (dual of [63, 4, 54]-code), using 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(847, 63, F8, 35) (dual of [63, 16, 36]-code), using the primitive BCH-code C(I) with length 63 = 82−1, defining interval I = {10,11,…,44}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(87, 14, F8, 6) (dual of [14, 7, 7]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OA(810, 17, F8, 8) (dual of [17, 7, 9]-code), using
- extended algebraic-geometric code AGe(F,8P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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.
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(878, 94, F8, 50) (dual of [94, 16, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(877, 93, F8, 50) (dual of [93, 16, 51]-code) | [i] | Truncation | |
| 3 | Linear OOA(878, 47, F8, 2, 51) (dual of [(47, 2), 16, 52]-NRT-code) | [i] | OOA Folding | |