Information on Result #698161
Linear OA(4953, 117680, F49, 16) (dual of [117680, 117627, 17]-code), using construction X applied to Ce(15) ⊂ Ce(7) based on
- linear OA(4946, 117649, F49, 16) (dual of [117649, 117603, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(4922, 117649, F49, 8) (dual of [117649, 117627, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(497, 31, F49, 7) (dual of [31, 24, 8]-code or 31-arc in PG(6,49)), using
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), using
- Reed–Solomon code RS(42,49) [i]
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), 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(4953, 58840, F49, 2, 16) (dual of [(58840, 2), 117627, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4953, 39226, F49, 3, 16) (dual of [(39226, 3), 117625, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(4953, 14710, F49, 16, 16) (dual of [(14710, 16), 235307, 17]-NRT-code) | [i] | OA Folding and Stacking | |