Information on Result #835594
Linear OOA(535, 321, F5, 2, 10) (dual of [(321, 2), 607, 11]-NRT-code), using OOA 2-folding based on linear OA(535, 642, F5, 10) (dual of [642, 607, 11]-code), using
- construction XX applied to C1 = C([622,5]), C2 = C([0,7]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([622,7]) [i] based on
- linear OA(525, 624, F5, 8) (dual of [624, 599, 9]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−2,−1,…,5}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(525, 624, F5, 8) (dual of [624, 599, 9]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(533, 624, F5, 10) (dual of [624, 591, 11]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−2,−1,…,7}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(517, 624, F5, 6) (dual of [624, 607, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- 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
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code) (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(537, 322, F5, 2, 10) (dual of [(322, 2), 607, 11]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(536, 321, F5, 2, 10) (dual of [(321, 2), 606, 11]-NRT-code) | [i] | OOA Duplication | |