Information on Result #689463
Linear OA(977, 59080, F9, 16) (dual of [59080, 59003, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(96, 31, F9, 4) (dual of [31, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), 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(977, 29540, F9, 2, 16) (dual of [(29540, 2), 59003, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(977, 19693, F9, 3, 16) (dual of [(19693, 3), 59002, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(977, 7385, F9, 16, 16) (dual of [(7385, 16), 118083, 17]-NRT-code) | [i] | OA Folding and Stacking | |