Information on Result #691409
Linear OA(976, 92, F9, 55) (dual of [92, 16, 56]-code), using construction XX applied to Ce(59) ⊂ Ce(50) ⊂ Ce(49) based on
- linear OA(972, 81, F9, 60) (dual of [81, 9, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60 [i]
- linear OA(966, 81, F9, 51) (dual of [81, 15, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
- linear OA(965, 81, F9, 50) (dual of [81, 16, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
- extended Reed–Solomon code RSe(7,9) [i]
- oval in PG(2, 9) [i]
- linear OA(90, 1, F9, 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(976, 92, F9, 54) (dual of [92, 16, 55]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(976, 92, F9, 53) (dual of [92, 16, 54]-code) | [i] | ||
| 3 | Linear OA(974, 90, F9, 53) (dual of [90, 16, 54]-code) | [i] | Truncation | |
| 4 | Linear OA(979, 96, F9, 55) (dual of [96, 17, 56]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(976, 46, F9, 2, 55) (dual of [(46, 2), 16, 56]-NRT-code) | [i] | OOA Folding | |