Information on Result #1492449
Linear OOA(989, 265734, F9, 3, 16) (dual of [(265734, 3), 797113, 17]-NRT-code), using OOA 2-folding based on linear OOA(989, 531468, F9, 2, 16) (dual of [(531468, 2), 1062847, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(989, 531469, F9, 2, 16) (dual of [(531469, 2), 1062849, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(989, 531469, F9, 16) (dual of [531469, 531380, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(985, 531441, F9, 16) (dual of [531441, 531356, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(961, 531441, F9, 12) (dual of [531441, 531380, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 531440 = 96−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(94, 28, F9, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,9)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(989, 531469, F9, 16) (dual of [531469, 531380, 17]-code), using
Mode: 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
None.