Information on Result #2281476
Linear OA(888, 556, F8, 28) (dual of [556, 468, 29]-code), using 1 times code embedding in larger space based on linear OA(887, 555, F8, 28) (dual of [555, 468, 29]-code), using
- construction XX applied to C1 = C([60,81]), C2 = C([54,75]), C3 = C1 + C2 = C([60,75]), and C∩ = C1 ∩ C2 = C([54,81]) [i] based on
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {60,61,…,81}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(858, 511, F8, 22) (dual of [511, 453, 23]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {54,55,…,75}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(873, 511, F8, 28) (dual of [511, 438, 29]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {54,55,…,81}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(843, 511, F8, 16) (dual of [511, 468, 17]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {60,61,…,75}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 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(87, 22, F8, 5) (dual of [22, 15, 6]-code) (see above)
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(888, 278, F8, 2, 28) (dual of [(278, 2), 468, 29]-NRT-code) | [i] | OOA Folding | |