Information on Result #716732
Linear OA(8152, 545, F8, 54) (dual of [545, 393, 55]-code), using construction XX applied to C1 = C([31,81]), C2 = C([28,75]), C3 = C1 + C2 = C([31,75]), and C∩ = C1 ∩ C2 = C([28,81]) based on
- linear OA(8133, 511, F8, 51) (dual of [511, 378, 52]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,81}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(8127, 511, F8, 48) (dual of [511, 384, 49]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,75}, and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {28,29,…,81}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8118, 511, F8, 45) (dual of [511, 393, 46]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {31,32,…,75}, and designed minimum distance d ≥ |I|+1 = 46 [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(83, 12, F8, 2) (dual of [12, 9, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-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(8152, 272, F8, 2, 54) (dual of [(272, 2), 392, 55]-NRT-code) | [i] | OOA Folding | |