Information on Result #896215
Linear OOA(5141, 4194367, F5, 2, 16) (dual of [(4194367, 2), 8388593, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(520, 66, F5, 2, 8) (dual of [(66, 2), 112, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(520, 132, F5, 8) (dual of [132, 112, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(519, 125, F5, 8) (dual of [125, 106, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- OOA 2-folding [i] based on linear OA(520, 132, F5, 8) (dual of [132, 112, 9]-code), using
- linear OOA(5121, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- OOA 2-folding [i] based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.