Information on Result #715712
Linear OA(893, 541, F8, 32) (dual of [541, 448, 33]-code), using construction XX applied to C1 = C([506,24]), C2 = C([1,26]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([506,26]) based on
- linear OA(879, 511, F8, 30) (dual of [511, 432, 31]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,24}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(869, 511, F8, 26) (dual of [511, 442, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(885, 511, F8, 32) (dual of [511, 426, 33]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {−5,−4,…,26}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(863, 511, F8, 24) (dual of [511, 448, 25]-code), using 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(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(81, 7, F8, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-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(893, 270, F8, 2, 32) (dual of [(270, 2), 447, 33]-NRT-code) | [i] | OOA Folding | |