Information on Result #1486990
Linear OOA(757, 1205, F7, 3, 16) (dual of [(1205, 3), 3558, 17]-NRT-code), using OOA 2-folding based on linear OOA(757, 2410, F7, 2, 16) (dual of [(2410, 2), 4763, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(757, 2411, F7, 2, 16) (dual of [(2411, 2), 4765, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(757, 2411, F7, 16) (dual of [2411, 2354, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(757, 2417, F7, 16) (dual of [2417, 2360, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(741, 2401, F7, 12) (dual of [2401, 2360, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 16, F7, 3) (dual of [16, 12, 4]-code or 16-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(757, 2417, F7, 16) (dual of [2417, 2360, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(757, 2411, F7, 16) (dual of [2411, 2354, 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.