Information on Result #1487000
Linear OOA(770, 7364, F7, 3, 16) (dual of [(7364, 3), 22022, 17]-NRT-code), using OOA 2-folding based on linear OOA(770, 14728, F7, 2, 16) (dual of [(14728, 2), 29386, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(770, 14729, F7, 2, 16) (dual of [(14729, 2), 29388, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(770, 14729, F7, 16) (dual of [14729, 14659, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(770, 16826, F7, 16) (dual of [16826, 16756, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- linear OA(766, 16807, F7, 16) (dual of [16807, 16741, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(74, 19, F7, 3) (dual of [19, 15, 4]-code or 19-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(770, 16826, F7, 16) (dual of [16826, 16756, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(770, 14729, F7, 16) (dual of [14729, 14659, 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.