Information on Result #1538883
Linear OOA(4166, 4194306, F4, 3, 18) (dual of [(4194306, 3), 12582752, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4166, 4194306, F4, 2, 18) (dual of [(4194306, 2), 8388446, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(49, 5, F4, 2, 9) (dual of [(5, 2), 1, 10]-NRT-code), using
- dual of repetition NRT-code with length 5 [i]
- linear OOA(4157, 4194301, F4, 2, 18) (dual of [(4194301, 2), 8388445, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- OOA 2-folding [i] based on linear OA(4157, 8388602, F4, 18) (dual of [8388602, 8388445, 19]-code), using
- linear OOA(49, 5, F4, 2, 9) (dual of [(5, 2), 1, 10]-NRT-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.