Information on Result #840805
Linear OOA(7109, 2882414, F7, 2, 16) (dual of [(2882414, 2), 5764719, 17]-NRT-code), using OOA 2-folding based on linear OA(7109, 5764828, F7, 16) (dual of [5764828, 5764719, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(7109, 5764829, F7, 16) (dual of [5764829, 5764720, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(7105, 5764801, F7, 16) (dual of [5764801, 5764696, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(781, 5764801, F7, 12) (dual of [5764801, 5764720, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
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
None.