Information on Result #709957
Linear OA(563, 150, F5, 23) (dual of [150, 87, 24]-code), using construction XX applied to C1 = C([118,15]), C2 = C([0,16]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([118,16]) based on
- linear OA(552, 124, F5, 22) (dual of [124, 72, 23]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,15}, and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(540, 124, F5, 17) (dual of [124, 84, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(555, 124, F5, 23) (dual of [124, 69, 24]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−6,−5,…,16}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(537, 124, F5, 16) (dual of [124, 87, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(58, 23, F5, 5) (dual of [23, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(58, 33, F5, 5) (dual of [33, 25, 6]-code), using
- linear OA(50, 3, F5, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(563, 75, F5, 2, 23) (dual of [(75, 2), 87, 24]-NRT-code) | [i] | OOA Folding | |