Information on Result #711030
Linear OA(564, 653, F5, 18) (dual of [653, 589, 19]-code), using construction XX applied to C1 = C([619,10]), C2 = C([0,12]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([619,12]) based on
- linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,10}, and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(541, 624, F5, 13) (dual of [624, 583, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(557, 624, F5, 18) (dual of [624, 567, 19]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,12}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(533, 624, F5, 11) (dual of [624, 591, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(56, 20, F5, 4) (dual of [20, 14, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-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(564, 326, F5, 2, 18) (dual of [(326, 2), 588, 19]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(564, 217, F5, 3, 18) (dual of [(217, 3), 587, 19]-NRT-code) | [i] | ||