Information on Result #1478914
Linear OOA(4122, 3431802, F4, 3, 13) (dual of [(3431802, 3), 10295284, 14]-NRT-code), using OOA 2-folding based on linear OOA(4122, 6863604, F4, 2, 13) (dual of [(6863604, 2), 13727086, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4122, 6863605, F4, 2, 13) (dual of [(6863605, 2), 13727088, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4122, 6863605, F4, 13) (dual of [6863605, 6863483, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4122, large, F4, 13) (dual of [large, large−122, 14]-code), using
- 13 times code embedding in larger space [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 13 times code embedding in larger space [i] based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(4122, large, F4, 13) (dual of [large, large−122, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4122, 6863605, F4, 13) (dual of [6863605, 6863483, 14]-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.