Information on Result #706426
Linear OA(485, 270, F4, 28) (dual of [270, 185, 29]-code), using construction XX applied to C1 = C([254,24]), C2 = C([1,26]), C3 = C1 + C2 = C([1,24]), and C∩ = C1 ∩ C2 = C([254,26]) based on
- linear OA(475, 255, F4, 26) (dual of [255, 180, 27]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,24}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(478, 255, F4, 26) (dual of [255, 177, 27]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(483, 255, F4, 28) (dual of [255, 172, 29]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−1,0,…,26}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(470, 255, F4, 24) (dual of [255, 185, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(41, 9, F4, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (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(485, 135, F4, 2, 28) (dual of [(135, 2), 185, 29]-NRT-code) | [i] | OOA Folding | |