Information on Result #688668
Linear OA(872, 536, F8, 25) (dual of [536, 464, 26]-code), using construction XX applied to Ce(24) ⊂ Ce(18) ⊂ Ce(17) based on
- linear OA(864, 512, F8, 25) (dual of [512, 448, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(849, 512, F8, 19) (dual of [512, 463, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(846, 512, F8, 18) (dual of [512, 466, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(87, 23, F8, 5) (dual of [23, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(872, 268, F8, 2, 25) (dual of [(268, 2), 464, 26]-NRT-code) | [i] | OOA Folding | |