Information on Result #840857
Linear OOA(784, 8430, F7, 2, 17) (dual of [(8430, 2), 16776, 18]-NRT-code), using OOA 2-folding based on linear OA(784, 16860, F7, 17) (dual of [16860, 16776, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(784, 16861, F7, 17) (dual of [16861, 16777, 18]-code), using
- (u, u+v)-construction [i] based on
- linear OA(713, 49, F7, 8) (dual of [49, 36, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(771, 16812, F7, 17) (dual of [16812, 16741, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(771, 16807, F7, 17) (dual of [16807, 16736, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- 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(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(713, 49, F7, 8) (dual of [49, 36, 9]-code), using
- (u, u+v)-construction [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.