Information on Result #1479415
Linear OOA(4251, 3052589, F4, 3, 26) (dual of [(3052589, 3), 9157516, 27]-NRT-code), using OOA 2-folding based on linear OOA(4251, 6105178, F4, 2, 26) (dual of [(6105178, 2), 12210105, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4251, 6105179, F4, 2, 26) (dual of [(6105179, 2), 12210107, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4251, 6105179, F4, 26) (dual of [6105179, 6104928, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4251, large, F4, 26) (dual of [large, large−251, 27]-code), using
- 22 times code embedding in larger space [i] based on linear OA(4229, large, F4, 26) (dual of [large, large−229, 27]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,25], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 22 times code embedding in larger space [i] based on linear OA(4229, large, F4, 26) (dual of [large, large−229, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4251, large, F4, 26) (dual of [large, large−251, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4251, 6105179, F4, 26) (dual of [6105179, 6104928, 27]-code), using
Mode: 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.