Information on Result #895493
Linear OOA(4121, 4202498, F4, 2, 11) (dual of [(4202498, 2), 8404875, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(424, 8197, F4, 2, 5) (dual of [(8197, 2), 16370, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(424, 16394, F4, 5) (dual of [16394, 16370, 6]-code), using
- 1 times code embedding in larger space [i] based on linear OA(423, 16393, F4, 5) (dual of [16393, 16370, 6]-code), using
- construction X4 applied to Ce(4) ⊂ Ce(2) [i] based on
- linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(415, 16384, F4, 3) (dual of [16384, 16369, 4]-code or 16384-cap in PG(14,4)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(48, 9, F4, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,4)), using
- dual of repetition code with length 9 [i]
- linear OA(41, 9, F4, 1) (dual of [9, 8, 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
- construction X4 applied to Ce(4) ⊂ Ce(2) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(423, 16393, F4, 5) (dual of [16393, 16370, 6]-code), using
- OOA 2-folding [i] based on linear OA(424, 16394, F4, 5) (dual of [16394, 16370, 6]-code), using
- linear OOA(497, 4194301, F4, 2, 11) (dual of [(4194301, 2), 8388505, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(497, 8388602, F4, 11) (dual of [8388602, 8388505, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- OOA 2-folding [i] based on linear OA(497, 8388602, F4, 11) (dual of [8388602, 8388505, 12]-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.