Information on Result #895522
Linear OOA(4131, 4194818, F4, 2, 13) (dual of [(4194818, 2), 8389505, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(422, 517, F4, 2, 6) (dual of [(517, 2), 1012, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(422, 1034, F4, 6) (dual of [1034, 1012, 7]-code), using
- construction XX applied to C1 = C([337,341]), C2 = C([339,342]), C3 = C1 + C2 = C([339,341]), and C∩ = C1 ∩ C2 = C([337,342]) [i] based on
- linear OA(416, 1023, F4, 5) (dual of [1023, 1007, 6]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {337,338,339,340,341}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(416, 1023, F4, 4) (dual of [1023, 1007, 5]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {339,340,341,342}, and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(421, 1023, F4, 6) (dual of [1023, 1002, 7]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {337,338,…,342}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(411, 1023, F4, 3) (dual of [1023, 1012, 4]-code or 1023-cap in PG(10,4)), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {339,340,341}, and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(40, 5, F4, 0) (dual of [5, 5, 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 XX applied to C1 = C([337,341]), C2 = C([339,342]), C3 = C1 + C2 = C([339,341]), and C∩ = C1 ∩ C2 = C([337,342]) [i] based on
- OOA 2-folding [i] based on linear OA(422, 1034, F4, 6) (dual of [1034, 1012, 7]-code), using
- linear OOA(4109, 4194301, F4, 2, 13) (dual of [(4194301, 2), 8388493, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4109, 8388602, F4, 13) (dual of [8388602, 8388493, 14]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(4109, large, F4, 13) (dual of [large, large−109, 14]-code), using
- OOA 2-folding [i] based on linear OA(4109, 8388602, F4, 13) (dual of [8388602, 8388493, 14]-code), using
Mode: Constructive and 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.