Information on Result #687337
Linear OA(880, 4123, F8, 21) (dual of [4123, 4043, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
- linear OA(873, 4096, F8, 21) (dual of [4096, 4023, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(87, 27, F8, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(880, 2061, F8, 2, 21) (dual of [(2061, 2), 4042, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(880, 1374, F8, 3, 21) (dual of [(1374, 3), 4042, 22]-NRT-code) | [i] | ||
| 3 | Linear OOA(880, 412, F8, 21, 21) (dual of [(412, 21), 8572, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |