Information on Result #2697618
Linear OOA(7110, 39228, F7, 3, 20) (dual of [(39228, 3), 117574, 21]-NRT-code), using 71 times duplication based on linear OOA(7109, 39228, F7, 3, 20) (dual of [(39228, 3), 117575, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(7109, 117684, F7, 20) (dual of [117684, 117575, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(7109, 117685, F7, 20) (dual of [117685, 117576, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- linear OA(7103, 117649, F7, 20) (dual of [117649, 117546, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(773, 117649, F7, 15) (dual of [117649, 117576, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(76, 36, F7, 4) (dual of [36, 30, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- construction X applied to Ce(19) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(7109, 117685, F7, 20) (dual of [117685, 117576, 21]-code), using
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.