Information on Result #1479230
Linear OOA(4129, 6753, F4, 3, 23) (dual of [(6753, 3), 20130, 24]-NRT-code), using OOA 2-folding based on linear OOA(4129, 13506, F4, 2, 23) (dual of [(13506, 2), 26883, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4129, 13506, F4, 23) (dual of [13506, 13377, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4129, 16421, F4, 23) (dual of [16421, 16292, 24]-code), using
- 2 times code embedding in larger space [i] based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(22) ⊂ Ce(17) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(4129, 16421, F4, 23) (dual of [16421, 16292, 24]-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.