Information on Result #1487009
Linear OOA(783, 44884, F7, 3, 16) (dual of [(44884, 3), 134569, 17]-NRT-code), using OOA 2-folding based on linear OOA(783, 89768, F7, 2, 16) (dual of [(89768, 2), 179453, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(783, 89769, F7, 2, 16) (dual of [(89769, 2), 179455, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(783, 89769, F7, 16) (dual of [89769, 89686, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(783, 117671, F7, 16) (dual of [117671, 117588, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(779, 117649, F7, 16) (dual of [117649, 117570, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,7)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(783, 117671, F7, 16) (dual of [117671, 117588, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(783, 89769, F7, 16) (dual of [89769, 89686, 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.