Information on Result #2688136
Linear OOA(4193, 349529, F4, 3, 26) (dual of [(349529, 3), 1048394, 27]-NRT-code), using 41 times duplication based on linear OOA(4192, 349529, F4, 3, 26) (dual of [(349529, 3), 1048395, 27]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4192, 1048587, F4, 26) (dual of [1048587, 1048395, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4191, 1048586, F4, 26) (dual of [1048586, 1048395, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(4191, 1048576, F4, 26) (dual of [1048576, 1048385, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4181, 1048576, F4, 25) (dual of [1048576, 1048395, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(40, 10, F4, 0) (dual of [10, 10, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4191, 1048586, F4, 26) (dual of [1048586, 1048395, 27]-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.